rEPORTE AX+B

PROGRAMA DE FUNCIONES DE DISTRIBUCION AX+BExponencial_1p

PARAMETROS DE CAALCULOAlfa

0.02068045

Tr Dato Calculado Prob. Real

34 96.46 170.5166 5484.3843 0.0294 0.13617 83.23 136.9996 2891.1701 0.0588 0.1788

11.3333 72.69 117.3934 1998.3938 0.0882 0.22248.5 68.32 103.4826 1236.4067 0.1176 0.24346.8 62.07 92.6925 937.7377 0.1471 0.277

5.6667 61.08 83.8764 519.6745 0.1765 0.28284.8571 61.07 76.4224 235.6974 0.2059 0.2828

4.25 58.69 69.9655 127.138 0.2353 0.29713.7778 53.32 64.2702 119.9062 0.2647 0.332

3.4 51.6 59.1755 57.3878 0.2941 0.3443.0909 49.14 54.5668 29.4498 0.3235 0.3622.8333 48.38 50.3593 3.9178 0.3529 0.36772.6154 47.5 46.4889 1.0223 0.3824 0.37442.4286 46.18 42.9054 10.7229 0.4118 0.38482.2667 44 39.5693 19.6314 0.4412 0.4025

2.125 43.83 36.4485 54.4862 0.4706 0.4042 43.74 33.517 104.5092 0.5 0.4047

1.8889 43.54 30.7531 163.5038 0.5294 0.40641.7895 42.85 28.1387 216.4215 0.5588 0.4122

1.7 42.03 25.6584 268.0277 0.5882 0.41931.619 41.98 23.2992 348.972 0.6176 0.4197

1.5455 41.62 21.0497 423.1356 0.6471 0.42291.4783 41.5 18.9003 510.7473 0.6765 0.42391.4167 41.05 16.8423 586.0119 0.7059 0.4279

1.36 40.14 14.8684 638.655 0.7353 0.4361.3077 38.63 12.9719 658.3399 0.7647 0.44981.2593 38.32 11.1469 738.3754 0.7941 0.45271.2143 37.73 9.3884 803.2472 0.8235 0.45831.1724 33.42 7.6915 661.9532 0.8529 0.5011.1333 33.12 6.0522 732.6634 0.8824 0.50411.0968 31.03 4.4667 705.609 0.9118 0.52641.0625 30.89 2.9315 781.678 0.9412 0.52791.0303 26.56 1.4435 630.8368 0.9706 0.5774

Error Cuadratico

Prob. Teorica

PROGRAMA DE FUNCIONES DE DISTRIBUCION AX+BGamma_3p_MV

PARAMETROS DE CAALCULOAlfa Beta Gamma

40.183065 0.53616929 26.809923


34 96.46 124.1324 765.7637 0.0294 0.081917 83.23 100.225 288.8298 0.0588 0.1144

11.3333 72.69 86.8901 201.6439 0.0882 0.15328.5 68.32 77.7576 89.0687 0.1176 0.17396.8 62.07 70.8815 77.6429 0.1471 0.2101

5.6667 61.08 65.4106 18.7542 0.1765 0.21674.8571 61.07 60.8974 0.0298 0.2059 0.2167

4.25 58.69 57.0781 2.5983 0.2353 0.23373.7778 53.32 53.7844 0.2157 0.2647 0.2783

3.4 51.6 50.9028 0.4861 0.2941 0.29483.0909 49.14 48.3528 0.6197 0.3235 0.32082.8333 48.38 46.0758 5.3094 0.3529 0.32942.6154 47.5 44.0277 12.0572 0.3824 0.33982.4286 46.18 42.1745 16.0444 0.4118 0.35622.2667 44 40.4896 12.3228 0.4412 0.3857

2.125 43.83 38.952 23.795 0.4706 0.38832 43.74 37.5445 38.3836 0.5 0.3896

1.8889 43.54 36.2502 53.1413 0.5294 0.39241.7895 42.85 35.0557 60.7518 0.5588 0.4028

1.7 42.03 33.9528 65.2408 0.5882 0.41551.619 41.98 32.9352 81.8087 0.6176 0.4164

1.5455 41.62 31.9975 92.5919 0.6471 0.42221.4783 41.5 31.1359 107.4155 0.6765 0.42421.4167 41.05 30.3473 114.5483 0.7059 0.4317

1.36 40.14 29.6301 110.4583 0.7353 0.44731.3077 38.63 28.9838 93.0488 0.7647 0.47551.2593 38.32 28.4095 98.2181 0.7941 0.48161.2143 37.73 27.91 96.4331 0.8235 0.49361.1724 33.42 27.4905 35.1586 0.8529 0.5991.1333 33.12 27.1599 35.5225 0.8824 0.6081.0968 31.03 26.9314 16.7984 0.9118 0.67841.0625 30.89 26.8213 16.5546 0.9412 0.68381.0303 26.56 26.8033 0.0592 0.9706 1

Error Cuadratico

Prob. Teorica

PROGRAMA DE FUNCIONES DE DISTRIBUCION AX+BGumbel_MC

PARAMETROS DE CAALCULOAlfa Beta

44.370014 7.64072318


34 96.46 71.2002 638.0578 0.0294 0.001117 83.23 65.7874 304.2452 0.0588 0.0062

11.3333 72.69 62.5696 102.4228 0.0882 0.02438.5 68.32 60.2485 65.1493 0.1176 0.04266.8 62.07 58.4171 13.344 0.1471 0.0939

5.6667 61.08 56.8939 17.5237 0.1765 0.10624.8571 61.07 55.582 30.1179 0.2059 0.1063

4.25 58.69 54.4236 18.2026 0.2353 0.14233.7778 53.32 53.3809 0.0037 0.2647 0.2665

3.4 51.6 52.4285 0.6864 0.2941 0.32173.0909 49.14 51.5476 5.7967 0.3235 0.41472.8333 48.38 50.7246 5.4973 0.3529 0.44662.6154 47.5 49.9489 5.9969 0.3824 0.48522.4286 46.18 49.2119 9.1924 0.4118 0.54572.2667 44 48.5069 20.3117 0.4412 0.6499

2.125 43.83 47.828 15.9841 0.4706 0.65812 43.74 47.1704 11.7679 0.5 0.6624

1.8889 43.54 46.5298 8.9388 0.5294 0.6721.7895 42.85 45.9021 9.3152 0.5588 0.7048

1.7 42.03 45.2836 10.5859 0.5882 0.74291.619 41.98 44.6707 7.2399 0.6176 0.7452

1.5455 41.62 44.0597 5.952 0.6471 0.76151.4783 41.5 43.4466 3.7891 0.6765 0.76681.4167 41.05 42.827 3.1579 0.7059 0.7865

1.36 40.14 42.196 4.2272 0.7353 0.82441.3077 38.63 41.5473 8.5104 0.7647 0.87991.2593 38.32 40.8728 6.5167 0.7941 0.891.2143 37.73 40.1617 5.913 0.8235 0.90791.1724 33.42 39.398 35.7369 0.8529 0.98491.1333 33.12 38.5567 29.5574 0.8824 0.98721.0968 31.03 37.593 43.0725 0.9118 0.99681.0625 30.89 36.4129 30.5022 0.9412 0.99711.0303 26.56 34.7407 66.9233 0.9706 1

Error Cuadratico

Prob. Teorica

PROGRAMA DE FUNCIONES DE DISTRIBUCION AX+BNormal_ML


48.3548485 14.26017


34 96.46 75.3039 447.579 0.0294 0.000417 83.23 70.6597 158.0131 0.0588 0.0073

11.3333 72.69 67.613 25.7763 0.0882 0.04418.5 68.32 65.255 9.3939 0.1176 0.08066.8 62.07 63.2861 1.4789 0.1471 0.1679

5.6667 61.08 61.5674 0.2376 0.1765 0.18594.8571 61.07 60.0228 1.0967 0.2059 0.1865

4.25 58.69 58.6052 0.0072 0.2353 0.23463.7778 53.32 57.2834 15.7088 0.2647 0.3636

3.4 51.6 56.0356 19.6746 0.2941 0.41033.0909 49.14 54.8455 32.5522 0.3235 0.47782.8333 48.38 53.7005 28.3076 0.3529 0.4992.6154 47.5 52.5907 25.9156 0.3824 0.52362.4286 46.18 51.508 28.3871 0.4118 0.56092.2667 44 50.4451 41.5394 0.4412 0.6202

2.125 43.83 49.396 30.9801 0.4706 0.62472 43.74 48.3549 21.2973 0.5 0.6271

1.8889 43.54 47.3137 14.2409 0.5294 0.6321.7895 42.85 46.2646 11.6594 0.5588 0.65

1.7 42.03 45.2017 10.06 0.5882 0.67151.619 41.98 44.119 4.5751 0.6176 0.6728

1.5455 41.62 43.0092 1.9299 0.6471 0.68181.4783 41.5 41.8642 0.1327 0.6765 0.68441.4167 41.05 40.6741 0.1413 0.7059 0.6956

1.36 40.14 39.4263 0.5094 0.7353 0.71751.3077 38.63 38.1045 0.2761 0.7647 0.75251.2593 38.32 36.6869 2.6669 0.7941 0.7591.2143 37.73 35.1423 6.6964 0.8235 0.77171.1724 33.42 33.4236 0 0.8529 0.85241.1333 33.12 31.4546 2.7734 0.8824 0.85741.0968 31.03 29.0967 3.7375 0.9118 0.88791.0625 30.89 26.05 23.4254 0.9412 0.88971.0303 26.56 21.4058 26.5662 0.9706 0.9367

Error Cuadratico

Prob. Teorica

PROGRAMA DE FUNCIONES DE DISTRIBUCION AX+BNormal


48.3548485 15.2402908


34 96.46 77.1562 372.6373 0.0294 0.000817 83.23 72.1927 121.8217 0.0588 0.0111

11.3333 72.69 68.9366 14.088 0.0882 0.05538.5 68.32 66.4166 3.6228 0.1176 0.09496.8 62.07 64.3123 5.0281 0.1471 0.1839

5.6667 61.08 62.4756 1.9476 0.1765 0.20164.8571 61.07 60.8247 0.0602 0.2059 0.2023

4.25 58.69 59.3097 0.384 0.2353 0.24913.7778 53.32 57.8971 20.9499 0.2647 0.372

3.4 51.6 56.5635 24.6365 0.2941 0.4163.0909 49.14 55.2916 37.8418 0.3235 0.47922.8333 48.38 54.0679 32.3523 0.3529 0.49912.6154 47.5 52.8819 28.9646 0.3824 0.52212.4286 46.18 51.7247 30.7434 0.4118 0.5572.2667 44 50.5888 43.4119 0.4412 0.6127

2.125 43.83 49.4675 31.7818 0.4706 0.61692 43.74 48.3549 21.2973 0.5 0.6192

1.8889 43.54 47.2422 13.706 0.5294 0.62381.7895 42.85 46.1209 10.6989 0.5588 0.6408

1.7 42.03 44.985 8.7322 0.5882 0.66111.619 41.98 43.8278 3.4144 0.6176 0.6623

1.5455 41.62 42.6418 1.0441 0.6471 0.67091.4783 41.5 41.4181 0.0067 0.6765 0.67341.4167 41.05 40.1462 0.8169 0.7059 0.6839

1.36 40.14 38.8126 1.762 0.7353 0.70491.3077 38.63 37.4 1.5129 0.7647 0.73851.2593 38.32 35.885 5.9294 0.7941 0.74471.2143 37.73 34.2341 12.2211 0.8235 0.7571.1724 33.42 32.3974 1.0458 0.8529 0.83631.1333 33.12 30.2931 7.9915 0.8824 0.84141.0968 31.03 27.7731 10.6074 0.9118 0.87231.0625 30.89 24.517 40.6153 0.9412 0.87421.0303 26.56 19.5535 49.0909 0.9706 0.9236

Error Cuadratico

Prob. Teorica

PROGRAMA DE FUNCIONES DE DISTRIBUCION AX+BExponencial_2p_MV


25.878911 22.4759375


34 96.46 105.1372 75.2933 0.0294 0.043317 83.23 89.558 40.0441 0.0588 0.078

11.3333 72.69 80.4448 60.1374 0.0882 0.12468.5 68.32 73.9789 32.0232 0.1176 0.14686.8 62.07 68.9635 47.5209 0.1471 0.1944

5.6667 61.08 64.8657 14.3315 0.1765 0.20324.8571 61.07 61.401 0.1096 0.2059 0.2089

4.25 58.69 58.3998 0.0842 0.2353 0.22633.7778 53.32 55.7525 5.917 0.2647 0.295

3.4 51.6 53.3844 3.1841 0.2941 0.31123.0909 49.14 51.2422 4.4194 0.3235 0.34762.8333 48.38 49.2866 0.8219 0.3529 0.36752.6154 47.5 47.4875 0.0002 0.3824 0.38212.4286 46.18 45.8219 0.1282 0.4118 0.3972.2667 44 44.2712 0.0736 0.4412 0.4379

2.125 43.83 42.8206 1.0188 0.4706 0.44992 43.74 41.458 5.2073 0.5 0.443

1.8889 43.54 40.1734 11.3343 0.5294 0.45581.7895 42.85 38.9581 15.1465 0.5588 0.4611

1.7 42.03 37.8053 17.8483 0.5882 0.47841.619 41.98 36.7087 27.7869 0.6176 0.4885

1.5455 41.62 35.6631 35.4847 0.6471 0.49641.4783 41.5 34.664 46.7309 0.6765 0.48991.4167 41.05 33.7074 53.9133 0.7059 0.4999

1.36 40.14 32.7899 54.0237 0.7353 0.53021.3077 38.63 31.9084 45.18 0.7647 0.55741.2593 38.32 31.0601 52.7055 0.7941 0.56521.2143 37.73 30.2427 56.0589 0.8235 0.58041.1724 33.42 29.454 15.7288 0.8529 0.70441.1333 33.12 28.6921 19.6066 0.8824 0.7141.0968 31.03 27.9551 9.4551 0.9118 0.79521.0625 30.89 27.2415 13.3115 0.9412 0.80021.0303 26.56 26.5499 0.0001 0.9706 0.9588

Error Cuadratico

Prob. Teorica

PROGRAMA DE FUNCIONES DE DISTRIBUCION AX+BGamma_2p_MV


3.94626776 12.2533116


34 96.46 77.6227 354.8449 0.0294 0.002417 83.23 71.6167 134.869 0.0588 0.0146

11.3333 72.69 67.85 23.4257 0.0882 0.05228.5 68.32 65.0273 10.8421 0.1176 0.08426.8 62.07 62.7311 0.437 0.1471 0.1576

5.6667 61.08 60.7715 0.0952 0.1765 0.17274.8571 61.07 59.0455 4.0986 0.2059 0.1729

4.25 58.69 57.4905 1.4388 0.2353 0.21323.7778 53.32 56.0655 7.5379 0.2647 0.3288

3.4 51.6 54.742 9.8722 0.2941 0.37233.0909 49.14 53.4992 19.0029 0.3235 0.43932.8333 48.38 52.3215 15.5356 0.3529 0.46092.6154 47.5 51.1966 13.6652 0.3824 0.48642.4286 46.18 50.1148 15.4824 0.4118 0.52592.2667 44 49.0677 25.6819 0.4412 0.5903

2.125 43.83 48.0486 17.7967 0.4706 0.59542 43.74 47.0514 10.9651 0.5 0.5981

1.8889 43.54 46.0679 6.3904 0.5294 0.6041.7895 42.85 45.0909 5.0217 0.5588 0.6252

1.7 42.03 44.1153 4.3486 0.5882 0.64881.619 41.98 43.136 1.3364 0.6176 0.6503

1.5455 41.62 42.1475 0.2782 0.6471 0.66091.4783 41.5 41.1435 0.1271 0.6765 0.66441.4167 41.05 40.1169 0.8706 0.7059 0.6775

1.36 40.14 39.0591 1.1683 0.7353 0.70351.3077 38.63 37.9591 0.4501 0.7647 0.74531.2593 38.32 36.8025 2.3029 0.7941 0.75361.2143 37.73 35.5692 4.6692 0.8235 0.76961.1724 33.42 34.2297 0.6556 0.8529 0.86851.1333 33.12 32.737 0.1467 0.8824 0.87441.0968 31.03 31.0073 0.0005 0.9118 0.91121.0625 30.89 28.864 4.1047 0.9412 0.91311.0303 26.56 25.7906 0.592 0.9706 0.9647

Error Cuadratico

Prob. Teorica

PROGRAMA DE FUNCIONES DE DISTRIBUCION AX+BGamma_2p_ML


4.30215778 11.2396734


34 96.46 79.0477 303.1886 0.0294 0.003417 83.23 72.7066 110.7415 0.0588 0.018

11.3333 72.69 68.7367 15.6285 0.0882 0.0598.5 68.32 65.7655 6.5255 0.1176 0.09226.8 62.07 63.351 1.641 0.1471 0.166

5.6667 61.08 61.2924 0.0451 0.1765 0.1814.8571 61.07 59.4807 2.5258 0.2059 0.1811

4.25 58.69 57.8498 0.706 0.2353 0.22073.7778 53.32 56.3562 9.2188 0.2647 0.3326

3.4 51.6 54.97 11.3571 0.2941 0.37443.0909 49.14 53.6692 20.514 0.3235 0.43862.8333 48.38 52.4374 16.4622 0.3529 0.45932.6154 47.5 51.2615 14.1489 0.3824 0.48372.4286 46.18 50.1313 15.6126 0.4118 0.52152.2667 44 49.0382 25.383 0.4412 0.5833

2.125 43.83 47.9748 17.1796 0.4706 0.58822 43.74 46.935 10.2079 0.5 0.5908

1.8889 43.54 45.9102 5.6176 0.5294 0.59651.7895 42.85 44.8927 4.1727 0.5588 0.6169

1.7 42.03 43.8774 3.4129 0.5882 0.63971.619 41.98 42.8589 0.7725 0.6176 0.6411

1.5455 41.62 41.8315 0.0447 0.6471 0.65131.4783 41.5 40.7889 0.5056 0.6765 0.65471.4167 41.05 39.7237 1.7592 0.7059 0.6674

1.36 40.14 38.6269 2.2896 0.7353 0.69271.3077 38.63 37.4873 1.3057 0.7647 0.73351.2593 38.32 36.2903 4.1198 0.7941 0.74171.2143 37.73 35.0153 7.3698 0.8235 0.75741.1724 33.42 33.6321 0.045 0.8529 0.85621.1333 33.12 32.0929 1.0549 0.8824 0.86221.0968 31.03 30.3123 0.5151 0.9118 0.90021.0625 30.89 28.1107 7.7243 0.9412 0.90221.0303 26.56 24.9641 2.547 0.9706 0.9576

Error Cuadratico

Prob. Teorica

PROGRAMA DE FUNCIONES DE DISTRIBUCION AX+BLogNormal_2p_MV


3.83662011 0.28221722


34 96.46 79.0404 303.444 0.0294 0.004717 83.23 72.0994 123.8901 0.0588 0.0191

11.3333 72.69 67.8806 23.1307 0.0882 0.05558.5 68.32 64.7857 12.4912 0.1176 0.08496.8 62.07 62.3098 0.0575 0.1471 0.1508

5.6667 61.08 60.2261 0.7292 0.1765 0.16454.8571 61.07 58.4128 7.0606 0.2059 0.1647

4.25 58.69 56.7968 3.5842 0.2353 0.2023.7778 53.32 55.3304 4.0416 0.2647 0.3105

3.4 51.6 53.9807 5.6678 0.2941 0.35263.0909 49.14 52.7241 12.8459 0.3235 0.41832.8333 48.38 51.5429 10.0036 0.3529 0.44042.6154 47.5 50.4232 8.5449 0.3824 0.46612.4286 46.18 49.3542 10.0753 0.4118 0.50562.2667 44 48.3269 18.7217 0.4412 0.5739

2.125 43.83 47.3338 12.2766 0.4706 0.57922 43.74 46.3685 6.9092 0.5 0.5821

1.8889 43.54 45.4229 3.5452 0.5294 0.58811.7895 42.85 44.4895 2.6879 0.5588 0.6099

1.7 42.03 43.5634 2.3514 0.5882 0.63631.619 41.98 42.6399 0.4354 0.6176 0.6375

1.5455 41.62 41.7136 0.0088 0.6471 0.64891.4783 41.5 40.779 0.5198 0.6765 0.6531.4167 41.05 39.8297 1.4891 0.7059 0.6672

1.36 40.14 38.8582 1.6431 0.7353 0.69521.3077 38.63 37.8549 0.6008 0.7647 0.74131.2593 38.32 36.8076 2.2873 0.7941 0.75021.2143 37.73 35.6994 4.1232 0.8235 0.76761.1724 33.42 34.5056 1.1786 0.8529 0.87711.1333 33.12 33.1869 0.0045 0.8824 0.88331.0968 31.03 31.6738 0.4145 0.9118 0.92271.0625 30.89 29.8205 1.1439 0.9412 0.92491.0303 26.56 27.2018 0.4119 0.9706 0.9759

Error Cuadratico

Prob. Teorica

PROGRAMA DE FUNCIONES DE DISTRIBUCION AX+BGumbel_MV


41.8824631 10.6302984


34 96.46 79.2104 297.547 0.0294 0.005917 83.23 71.6798 133.4079 0.0588 0.0202

11.3333 72.69 67.203 30.1077 0.0882 0.05368.5 68.32 63.9737 18.8905 0.1176 0.07986.8 62.07 61.4257 0.4152 0.1471 0.139

5.6667 61.08 59.3065 3.1453 0.1765 0.15154.8571 61.07 57.4814 12.8782 0.2059 0.1517

4.25 58.69 55.8696 7.9544 0.2353 0.1863.7778 53.32 54.4191 1.208 0.2647 0.2889

3.4 51.6 53.0939 2.2319 0.2941 0.33033.0909 49.14 51.8685 7.4445 0.3235 0.39662.8333 48.38 50.7235 5.4918 0.3529 0.41882.6154 47.5 49.6441 4.5974 0.3824 0.44542.4286 46.18 48.6188 5.9478 0.4118 0.4872.2667 44 47.6379 13.2344 0.4412 0.5593

2.125 43.83 46.6935 8.1994 0.4706 0.56512 43.74 45.7786 4.1559 0.5 0.5681

1.8889 43.54 44.8873 1.8152 0.5294 0.5751.7895 42.85 44.014 1.3549 0.5588 0.5987

1.7 42.03 43.1535 1.2623 0.5882 0.6271.619 41.98 42.3008 0.1029 0.6176 0.6287

1.5455 41.62 41.4507 0.0287 0.6471 0.64121.4783 41.5 40.5977 0.8141 0.6765 0.64541.4167 41.05 39.7358 1.7272 0.7059 0.6609

1.36 40.14 38.8578 1.6439 0.7353 0.69211.3077 38.63 37.9552 0.4553 0.7647 0.74281.2593 38.32 37.0169 1.6981 0.7941 0.75291.2143 37.73 36.0275 2.8984 0.8235 0.77191.1724 33.42 34.9651 2.3873 0.8529 0.8911.1333 33.12 33.7945 0.455 0.8824 0.89771.0968 31.03 32.4538 2.0271 0.9118 0.93771.0625 30.89 30.8119 0.0061 0.9412 0.93991.0303 26.56 28.4855 3.7074 0.9706 0.9854

Error Cuadratico

Prob. Teorica

PROGRAMA DE FUNCIONES DE DISTRIBUCION AX+BGamma_2p


4.80337485 10.0668488


34 96.46 80.974 239.8168 0.0294 0.00517 83.23 74.1744 82.004 0.0588 0.023

11.3333 72.69 69.9273 7.6327 0.0882 0.06818.5 68.32 66.754 2.4525 0.1176 0.10266.8 62.07 64.1789 4.4473 0.1471 0.1765

5.6667 61.08 61.986 0.8208 0.1765 0.19124.8571 61.07 60.0583 1.0236 0.2059 0.1913

4.25 58.69 58.3246 0.1335 0.2353 0.22983.7778 53.32 56.7386 11.687 0.2647 0.3371

3.4 51.6 55.2679 13.4537 0.2941 0.37683.0909 49.14 53.8891 22.5539 0.3235 0.43752.8333 48.38 52.5844 17.6773 0.3529 0.45712.6154 47.5 51.3402 14.7468 0.3824 0.48012.4286 46.18 50.1452 15.7228 0.4118 0.51592.2667 44 48.9904 24.9042 0.4412 0.5745

2.125 43.83 47.8681 16.3059 0.4706 0.57922 43.74 46.7714 9.1893 0.5 0.5816

1.8889 43.54 45.6915 4.6289 0.5294 0.58711.7895 42.85 44.6203 3.1339 0.5588 0.6066

1.7 42.03 43.5523 2.3174 0.5882 0.62831.619 41.98 42.4819 0.2519 0.6176 0.6297

1.5455 41.62 41.4033 0.047 0.6471 0.63941.4783 41.5 40.3096 1.4169 0.6765 0.64271.4167 41.05 39.1935 3.4467 0.7059 0.6548

1.36 40.14 38.0456 4.3867 0.7353 0.67921.3077 38.63 36.8543 3.1531 0.7647 0.71861.2593 38.32 35.6046 7.3735 0.7941 0.72661.2143 37.73 34.2754 11.9345 0.8235 0.74191.1724 33.42 32.8358 0.3413 0.8529 0.84021.1333 33.12 31.2368 3.5466 0.8824 0.84621.0968 31.03 29.3912 2.6856 0.9118 0.88541.0625 30.89 27.1162 14.2419 0.9412 0.88761.0303 26.56 23.879 7.1879 0.9706 0.9473

Error Cuadratico

Prob. Teorica

PROGRAMA DE FUNCIONES DE DISTRIBUCION AX+BGumbel_ME


42.0145263 10.9843147


34 96.46 80.5856 251.9956 0.0294 0.00717 83.23 72.8042 108.6982 0.0588 0.0232

11.3333 72.69 68.1783 20.3559 0.0882 0.05948.5 68.32 64.8414 12.1004 0.1176 0.08726.8 62.07 62.2086 0.0192 0.1471 0.1488

5.6667 61.08 60.0188 1.1261 0.1765 0.16164.8571 61.07 58.1329 8.6264 0.2059 0.1617

4.25 58.69 56.4675 4.9395 0.2353 0.19683.7778 53.32 54.9687 2.7181 0.2647 0.3004

3.4 51.6 53.5994 3.9975 0.2941 0.34153.0909 49.14 52.3331 10.1957 0.3235 0.40712.8333 48.38 51.1499 7.6726 0.3529 0.42892.6154 47.5 50.0347 6.4247 0.3824 0.4552.4286 46.18 48.9752 7.8132 0.4118 0.49562.2667 44 47.9617 15.6947 0.4412 0.566

2.125 43.83 46.9857 9.9587 0.4706 0.57162 43.74 46.0404 5.2919 0.5 0.5746

1.8889 43.54 45.1194 2.4945 0.5294 0.58121.7895 42.85 44.217 1.8688 0.5588 0.6042

1.7 42.03 43.3279 1.6846 0.5882 0.63161.619 41.98 42.4468 0.2179 0.6176 0.6333

1.5455 41.62 41.5684 0.0027 0.6471 0.64531.4783 41.5 40.687 0.661 0.6765 0.64931.4167 41.05 39.7963 1.5716 0.7059 0.6644

1.36 40.14 38.8892 1.5646 0.7353 0.69461.3077 38.63 37.9565 0.4536 0.7647 0.74361.2593 38.32 36.9869 1.7772 0.7941 0.75341.2143 37.73 35.9646 3.1166 0.8235 0.77171.1724 33.42 34.8668 2.0932 0.8529 0.88771.1333 33.12 33.6573 0.2886 0.8824 0.89431.0968 31.03 32.2718 1.5421 0.9118 0.9341.0625 30.89 30.5753 0.099 0.9412 0.93631.0303 26.56 28.1714 2.5965 0.9706 0.9832

Error Cuadratico

Prob. Teorica

PROGRAMA DE FUNCIONES DE DISTRIBUCION AX+BLogNormal_2p


3.83121334 0.30774391


34 96.46 82.4995 194.8949 0.0294 0.008217 83.23 74.6318 73.9297 0.0588 0.0275

11.3333 72.69 69.8826 7.8817 0.0882 0.06968.5 68.32 66.4155 3.627 0.1176 0.10096.8 62.07 63.6525 2.5045 0.1471 0.1673

5.6667 61.08 61.3349 0.065 0.1765 0.18074.8571 61.07 59.3241 3.0483 0.2059 0.1809

4.25 58.69 57.5366 1.3302 0.2353 0.21683.7778 53.32 55.9187 6.753 0.2647 0.3188

3.4 51.6 54.4329 8.0254 0.2941 0.35773.0909 49.14 53.0527 15.3089 0.3235 0.41822.8333 48.38 51.7578 11.4098 0.3529 0.43832.6154 47.5 50.533 9.1991 0.3824 0.4622.4286 46.18 49.3659 10.1498 0.4118 0.49812.2667 44 48.2465 18.0324 0.4412 0.5609

2.125 43.83 47.1664 11.1315 0.4706 0.56582 43.74 46.1185 5.6573 0.5 0.5685

1.8889 43.54 45.0938 2.4143 0.5294 0.5741.7895 42.85 44.0843 1.5235 0.5588 0.5942

1.7 42.03 43.0847 1.1123 0.5882 0.61871.619 41.98 42.0896 0.012 0.6176 0.6199

1.5455 41.62 41.0935 0.2772 0.6471 0.63051.4783 41.5 40.0906 1.9864 0.6765 0.63431.4167 41.05 39.074 3.9045 0.7059 0.6476

1.36 40.14 38.0358 4.4275 0.7353 0.67391.3077 38.63 36.9662 2.7681 0.7647 0.71771.2593 38.32 35.8524 6.0888 0.7941 0.72631.2143 37.73 34.677 9.3208 0.8235 0.7431.1724 33.42 33.4144 0 0.8529 0.85241.1333 33.12 32.0243 1.2005 0.8824 0.85891.0968 31.03 30.4355 0.3534 0.9118 0.90111.0625 30.89 28.4988 5.718 0.9412 0.90351.0303 26.56 25.7809 0.607 0.9706 0.9636

Error Cuadratico

Prob. Teorica

PROGRAMA DE FUNCIONES DE DISTRIBUCION AX+BLogNormal_2p_Stigth


3.83258431 0.30774391


34 96.46 82.6127 191.7476 0.0294 0.008317 83.23 74.7342 72.1794 0.0588 0.0278

11.3333 72.69 69.9784 7.3525 0.0882 0.07028.5 68.32 66.5066 3.2883 0.1176 0.10176.8 62.07 63.7399 2.7885 0.1471 0.1684

5.6667 61.08 61.4191 0.115 0.1765 0.18194.8571 61.07 59.4054 2.7707 0.2059 0.182

4.25 58.69 57.6156 1.1544 0.2353 0.21823.7778 53.32 55.9954 7.1576 0.2647 0.3204

3.4 51.6 54.5076 8.4541 0.2941 0.35943.0909 49.14 53.1254 15.8837 0.3235 0.41992.8333 48.38 51.8288 11.8945 0.3529 0.44012.6154 47.5 50.6023 9.6244 0.3824 0.46372.4286 46.18 49.4336 10.5859 0.4118 0.49992.2667 44 48.3127 18.599 0.4412 0.5626

2.125 43.83 47.2311 11.5675 0.4706 0.56762 43.74 46.1818 5.9623 0.5 0.5702

1.8889 43.54 45.1557 2.6104 0.5294 0.57571.7895 42.85 44.1448 1.6765 0.5588 0.596

1.7 42.03 43.1438 1.2405 0.5882 0.62041.619 41.98 42.1473 0.028 0.6176 0.6216

1.5455 41.62 41.1499 0.221 0.6471 0.63211.4783 41.5 40.1456 1.8344 0.6765 0.6361.4167 41.05 39.1276 3.6956 0.7059 0.6492

1.36 40.14 38.088 4.2106 0.7353 0.67551.3077 38.63 37.0169 2.6019 0.7647 0.71921.2593 38.32 35.9016 5.8485 0.7941 0.72771.2143 37.73 34.7246 9.0325 0.8235 0.74451.1724 33.42 33.4603 0.0016 0.8529 0.85351.1333 33.12 32.0683 1.1062 0.8824 0.85991.0968 31.03 30.4773 0.3055 0.9118 0.90191.0625 30.89 28.5379 5.5326 0.9412 0.90431.0303 26.56 25.8163 0.5531 0.9706 0.9639

Error Cuadratico

Prob. Teorica

PROGRAMA DE FUNCIONES DE DISTRIBUCION AX+BGumbel_ML


41.6533236 11.6100883


34 96.46 82.4218 197.0707 0.0294 0.008917 83.23 74.197 81.5945 0.0588 0.0275

11.3333 72.69 69.3076 11.4407 0.0882 0.06678.5 68.32 65.7807 6.4481 0.1176 0.09576.8 62.07 62.9978 0.8609 0.1471 0.1583

5.6667 61.08 60.6833 0.1573 0.1765 0.17114.8571 61.07 58.69 5.6645 0.2059 0.1712

4.25 58.69 56.9297 3.0987 0.2353 0.20593.7778 53.32 55.3454 4.1024 0.2647 0.3066

3.4 51.6 53.8982 5.2815 0.2941 0.34593.0909 49.14 52.5597 11.6945 0.3235 0.40832.8333 48.38 51.3092 8.5801 0.3529 0.42892.6154 47.5 50.1304 6.919 0.3824 0.45362.4286 46.18 49.0106 8.0121 0.4118 0.49192.2667 44 47.9393 15.5177 0.4412 0.5582

2.125 43.83 46.9078 9.4726 0.4706 0.56352 43.74 45.9086 4.7027 0.5 0.5663

1.8889 43.54 44.9351 1.9463 0.5294 0.57261.7895 42.85 43.9813 1.2799 0.5588 0.5943

1.7 42.03 43.0415 1.0232 0.5882 0.62021.619 41.98 42.1102 0.017 0.6176 0.6218

1.5455 41.62 41.1817 0.1921 0.6471 0.63321.4783 41.5 40.2501 1.5621 0.6765 0.6371.4167 41.05 39.3088 3.0319 0.7059 0.6512

1.36 40.14 38.3499 3.2044 0.7353 0.67991.3077 38.63 37.3641 1.6024 0.7647 0.72681.2593 38.32 36.3393 3.9233 0.7941 0.73621.2143 37.73 35.2587 6.1071 0.8235 0.75391.1724 33.42 34.0984 0.4602 0.8529 0.8691.1333 33.12 32.8199 0.09 0.8824 0.87581.0968 31.03 31.3556 0.106 0.9118 0.91771.0625 30.89 29.5624 1.7624 0.9412 0.92011.0303 26.56 27.0215 0.213 0.9706 0.9745

Error Cuadratico

Prob. Teorica

PROGRAMA DE FUNCIONES DE DISTRIBUCION AX+BGumbel


41.4959067 11.882806


34 96.46 83.222 175.2437 0.0294 0.009817 83.23 74.8041 70.9965 0.0588 0.0294

11.3333 72.69 69.7998 8.3535 0.0882 0.06998.5 68.32 66.19 4.5369 0.1176 0.09936.8 62.07 63.3418 1.6174 0.1471 0.1622

5.6667 61.08 60.9729 0.0115 0.1765 0.1754.8571 61.07 58.9328 4.5678 0.2059 0.1752

4.25 58.69 57.1311 2.4301 0.2353 0.20973.7778 53.32 55.5097 4.7946 0.2647 0.3091

3.4 51.6 54.0284 5.897 0.2941 0.34773.0909 49.14 52.6585 12.3798 0.3235 0.40882.8333 48.38 51.3786 8.9915 0.3529 0.42892.6154 47.5 50.1721 7.1401 0.3824 0.4532.4286 46.18 49.026 8.0995 0.4118 0.49042.2667 44 47.9295 15.4409 0.4412 0.5551

2.125 43.83 46.8738 9.2645 0.4706 0.56032 43.74 45.8511 4.4568 0.5 0.563

1.8889 43.54 44.8548 1.7286 0.5294 0.56911.7895 42.85 43.8786 1.058 0.5588 0.5903

1.7 42.03 42.9167 0.7863 0.5882 0.61561.619 41.98 41.9635 0.0003 0.6176 0.6171

1.5455 41.62 41.0133 0.3681 0.6471 0.62831.4783 41.5 40.0598 2.0743 0.6765 0.6321.4167 41.05 39.0963 3.817 0.7059 0.6459

1.36 40.14 38.1149 4.101 0.7353 0.6741.3077 38.63 37.106 2.3227 0.7647 0.71991.2593 38.32 36.057 5.121 0.7941 0.72921.2143 37.73 34.9511 7.7221 0.8235 0.74661.1724 33.42 33.7635 0.118 0.8529 0.8611.1333 33.12 32.455 0.4422 0.8824 0.86781.0968 31.03 30.9563 0.0054 0.9118 0.91041.0625 30.89 29.121 3.1293 0.9412 0.9131.0303 26.56 26.5204 0.0016 0.9706 0.9702

Error Cuadratico

Prob. Teorica

PROGRAMA DE FUNCIONES DE DISTRIBUCION AX+BLogNormal_3p_MV


3.33237525 0.45516889 17.2698262


34 96.46 83.4619 168.9511 0.0294 0.011217 83.23 74.3422 78.9925 0.0588 0.0299

11.3333 72.69 69.0534 13.2248 0.0882 0.06688.5 68.32 65.2991 9.1258 0.1176 0.09356.8 62.07 62.3735 0.0921 0.1471 0.151

5.6667 61.08 59.9659 1.2413 0.1765 0.16274.8571 61.07 57.9118 9.9739 0.2059 0.1628

4.25 58.69 56.1138 6.6366 0.2353 0.1953.7778 53.32 54.5092 1.4141 0.2647 0.2895

3.4 51.6 53.0551 2.1173 0.2941 0.32733.0909 49.14 51.7212 6.6625 0.3235 0.38832.8333 48.38 50.4849 4.4304 0.3529 0.40862.6154 47.5 49.3289 3.3449 0.3824 0.43322.4286 46.18 48.2398 4.2429 0.4118 0.4722.2667 44 47.2068 10.2835 0.4412 0.5408

2.125 43.83 46.2209 5.7164 0.4706 0.54642 43.74 45.2747 2.3552 0.5 0.5494

1.8889 43.54 44.3593 0.6712 0.5294 0.55591.7895 42.85 43.4671 0.3809 0.5588 0.579

1.7 42.03 42.5933 0.3173 0.5882 0.60661.619 41.98 41.733 0.061 0.6176 0.6082

1.5455 41.62 40.8817 0.5451 0.6471 0.62061.4783 41.5 40.0343 2.1482 0.6765 0.62471.4167 41.05 39.1858 3.4754 0.7059 0.6403

1.36 40.14 38.33 3.276 0.7353 0.67191.3077 38.63 37.46 1.3689 0.7647 0.72421.2593 38.32 36.5668 3.0737 0.7941 0.73481.2143 37.73 35.6384 4.3746 0.8235 0.75481.1724 33.42 34.6579 1.5325 0.8529 0.88671.1333 33.12 33.5988 0.2292 0.8824 0.89451.0968 31.03 32.4149 1.918 0.9118 0.94071.0625 30.89 31.0115 0.0148 0.9412 0.94341.0303 26.56 29.1182 6.5444 0.9706 0.9923

Error Cuadratico

Prob. Teorica

PROGRAMA DE FUNCIONES DE DISTRIBUCION AX+BLogNormal_3p


3.44940661 0.42301849 13.9265473


34 96.46 83.9502 156.4944 0.0294 0.011317 83.23 74.9382 68.7544 0.0588 0.0311

11.3333 72.69 69.6659 9.1454 0.0882 0.078.5 68.32 65.9004 5.8547 0.1176 0.09816.8 62.07 62.9516 0.7773 0.1471 0.1576

5.6667 61.08 60.5148 0.3194 0.1765 0.16994.8571 61.07 58.4283 6.9787 0.2059 0.1699

4.25 58.69 56.5957 4.3863 0.2353 0.20273.7778 53.32 54.955 2.6734 0.2647 0.298

3.4 51.6 53.4641 3.4749 0.2941 0.33563.0909 49.14 52.0926 8.7178 0.3235 0.39572.8333 48.38 50.8181 5.9442 0.3529 0.41562.6154 47.5 49.6234 4.5087 0.3824 0.43942.4286 46.18 48.495 5.3592 0.4118 0.47712.2667 44 47.4221 11.7108 0.4412 0.5431

2.125 43.83 46.3957 6.5829 0.4706 0.54832 43.74 45.4083 2.7832 0.5 0.5511

1.8889 43.54 44.4508 0.8296 0.5294 0.55761.7895 42.85 43.5155 0.4429 0.5588 0.5795

1.7 42.03 42.5971 0.3216 0.5882 0.60571.619 41.98 41.6909 0.0836 0.6176 0.6073

1.5455 41.62 40.7917 0.686 0.6471 0.61921.4783 41.5 39.8946 2.5773 0.6765 0.62291.4167 41.05 38.9938 4.228 0.7059 0.6377

1.36 40.14 38.0829 4.2318 0.7353 0.66741.3077 38.63 37.1541 2.1784 0.7647 0.71671.2593 38.32 36.1975 4.5048 0.7941 0.72681.2143 37.73 35.2001 6.4005 0.8235 0.74571.1724 33.42 34.1427 0.5223 0.8529 0.87141.1333 33.12 32.9957 0.0154 0.8824 0.8791.0968 31.03 31.7075 0.459 0.9118 0.92541.0625 30.89 30.171 0.517 0.9412 0.92811.0303 26.56 28.0803 2.3113 0.9706 0.9845

Error Cuadratico

Prob. Teorica

PROGRAMA DE FUNCIONES DE DISTRIBUCION AX+BGamma_3p


14.2116968 1.14999153 32.0115176


34 96.46 86.162 106.0497 0.0294 0.01517 83.23 75.8628 54.2758 0.0588 0.0367

11.3333 72.69 69.8712 7.9454 0.0882 0.07488.5 68.32 65.6285 7.244 0.1176 0.10046.8 62.07 62.3387 0.0722 0.1471 0.1526

5.6667 61.08 59.6487 2.0486 0.1765 0.16294.8571 61.07 57.3711 13.6816 0.2059 0.163

4.25 58.69 55.3942 10.862 0.2353 0.19113.7778 53.32 53.6462 0.1064 0.2647 0.2724

3.4 51.6 52.0779 0.2284 0.2941 0.30493.0909 49.14 50.6545 2.2936 0.3235 0.35782.8333 48.38 49.3502 0.9413 0.3529 0.3762.6154 47.5 48.1455 0.4167 0.3824 0.3982.4286 46.18 47.0252 0.7144 0.4118 0.43322.2667 44 45.9772 3.9092 0.4412 0.498

2.125 43.83 44.9916 1.3494 0.4706 0.50342 43.74 44.0606 0.1028 0.5 0.5063

1.8889 43.54 43.1751 0.1331 0.5294 0.51281.7895 42.85 42.3279 0.2726 0.5588 0.5356

1.7 42.03 41.5144 0.2658 0.5882 0.5641.619 41.98 40.7308 1.5604 0.6176 0.5656

1.5455 41.62 39.9737 2.7103 0.6471 0.57851.4783 41.5 39.2398 5.1083 0.6765 0.5831.4167 41.05 38.5263 6.3689 0.7059 0.5996

1.36 40.14 37.8304 5.3343 0.7353 0.63431.3077 38.63 37.1492 2.1926 0.7647 0.69581.2593 38.32 36.4801 3.3851 0.7941 0.70891.2143 37.73 35.8202 3.6475 0.8235 0.73451.1724 33.42 35.1661 3.0488 0.8529 0.93811.1333 33.12 34.5142 1.9437 0.8824 0.95241.0968 31.03 33.86 8.0087 0.9118 11.0625 30.89 33.1982 5.3279 0.9412 11.0303 26.56 32.527 35.6053 0.9706 1

Error Cuadratico

Prob. Teorica

PROGRAMA DE FUNCIONES DE DISTRIBUCION AX+BGumbel_Doble_MV

PARAMETROS DE CAALCULOAlfa Beta Gamma Delta P

7.703035 39.2106782 9.18217742 68.2584053 0.81818182


34 96.46 84.9479 132.5288 0.0294 0.008717 83.23 77.9417 27.9666 0.0588 0.035

11.3333 72.69 73.4652 0.6009 0.0882 0.09438.5 68.32 69.9514 2.6615 0.1176 0.1336.8 62.07 66.8901 23.2333 0.1471 0.1973

5.6667 61.08 64.0359 8.7373 0.1765 0.20794.8571 61.07 61.2636 0.0375 0.2059 0.208

4.25 58.69 58.5614 0.0165 0.2353 0.23393.7778 53.32 56.043 7.4145 0.2647 0.3018

3.4 51.6 53.8377 5.0072 0.2941 0.32993.0909 49.14 51.9655 7.9837 0.3235 0.37882.8333 48.38 50.3693 3.9572 0.3529 0.39632.6154 47.5 48.982 2.1965 0.3824 0.41822.4286 46.18 47.7512 2.4686 0.4118 0.45412.2667 44 46.6385 6.9618 0.4412 0.5218

2.125 43.83 45.6171 3.1936 0.4706 0.52752 43.74 44.6668 0.8589 0.5 0.5305

1.8889 43.54 43.7725 0.0541 0.5294 0.53731.7895 42.85 42.9224 0.0052 0.5588 0.5614

1.7 42.03 42.1067 0.0059 0.5882 0.59111.619 41.98 41.3172 0.4393 0.6176 0.5929

1.5455 41.62 40.5466 1.1522 0.6471 0.60631.4783 41.5 39.788 2.931 0.6765 0.61081.4167 41.05 39.0347 4.0613 0.7059 0.6278

1.36 40.14 38.2797 3.4607 0.7353 0.66281.3077 38.63 37.515 1.2433 0.7647 0.72171.2593 38.32 36.7309 2.5253 0.7941 0.73371.2143 37.73 35.9151 3.2939 0.8235 0.75651.1724 33.42 35.0499 2.6567 0.8529 0.90191.1333 33.12 34.1084 0.9769 0.8824 0.90981.0968 31.03 33.043 4.0521 0.9118 0.95461.0625 30.89 31.7545 0.7474 0.9412 0.9571.0303 26.56 29.9542 11.5204 0.9706 0.9953

Error Cuadratico

Prob. Teorica

PROGRAMA DE FUNCIONES DE DISTRIBUCION AX+BExponencial_2p


33.1145577 15.2402908


34 96.46 86.8573 92.2115 0.0294 0.015717 83.23 76.2936 48.1143 0.0588 0.0373

11.3333 72.69 70.1141 6.635 0.0882 0.07458.5 68.32 65.7298 6.7092 0.1176 0.09496.8 62.07 62.329 0.0671 0.1471 0.1436

5.6667 61.08 59.5504 2.3397 0.1765 0.15334.8571 61.07 57.2011 14.9685 0.2059 0.1597

4.25 58.69 55.166 12.4184 0.2353 0.17973.7778 53.32 53.371 0.0026 0.2647 0.2656

3.4 51.6 51.7653 0.0273 0.2941 0.28743.0909 49.14 50.3127 1.3752 0.3235 0.33832.8333 48.38 48.9866 0.368 0.3529 0.36732.6154 47.5 47.7667 0.0712 0.3824 0.38912.4286 46.18 46.6373 0.2091 0.4118 0.41162.2667 44 45.5858 2.5149 0.4412 0.4756

2.125 43.83 44.6023 0.5964 0.4706 0.4952 43.74 43.6783 0.0038 0.5 0.4839

1.8889 43.54 42.8072 0.537 0.5294 0.50461.7895 42.85 41.9832 0.7513 0.5588 0.5133

1.7 42.03 41.2015 0.6864 0.5882 0.5421.619 41.98 40.4579 2.3168 0.6176 0.5589

1.5455 41.62 39.7489 3.5009 0.6471 0.57231.4783 41.5 39.0715 5.8977 0.6765 0.56131.4167 41.05 38.4229 6.9019 0.7059 0.5783

1.36 40.14 37.8007 5.4723 0.7353 0.63071.3077 38.63 37.203 2.0364 0.7647 0.67891.2593 38.32 36.6278 2.8635 0.7941 0.6931.2143 37.73 36.0736 2.7438 0.8235 0.72071.1724 33.42 35.5387 4.4891 0.8529 0.95891.1333 33.12 35.0221 3.6179 0.8824 0.97821.0968 31.03 34.5224 12.1965 0.9118 0.85341.0625 30.89 34.0385 9.913 0.9412 0.84281.0303 26.56 33.5695 49.1334 0.9706 0.4892

Error Cuadratico

Prob. Teorica

PROGRAMA DE FUNCIONES DE DISTRIBUCION AX+BLogNormal_2p_MV_Doble


0.19805379 3.74924623 0.16194335 4.29026498 0.81818182


34 96.46 85.6789 116.2311 0.0294 0.007717 83.23 78.7402 20.1584 0.0588 0.0382

11.3333 72.69 73.7724 1.1716 0.0882 0.09548.5 68.32 69.5132 1.4238 0.1176 0.12656.8 62.07 65.6045 12.493 0.1471 0.1758

5.6667 61.08 61.9797 0.8094 0.1765 0.18464.8571 61.07 58.8719 4.8317 0.2059 0.1847

4.25 58.69 56.3045 5.6907 0.2353 0.20783.7778 53.32 54.2512 0.8671 0.2647 0.2801

3.4 51.6 52.5412 0.8859 0.2941 0.31263.0909 49.14 51.0856 3.7853 0.3235 0.36972.8333 48.38 49.8129 2.0532 0.3529 0.39052.6154 47.5 48.6628 1.3521 0.3824 0.41592.4286 46.18 47.6266 2.0927 0.4118 0.45692.2667 44 46.6799 7.1817 0.4412 0.5337

2.125 43.83 45.7701 3.7638 0.4706 0.542 43.74 44.9301 1.4164 0.5 0.5433

1.8889 43.54 44.1042 0.3183 0.5294 0.55041.7895 42.85 43.3281 0.2285 0.5588 0.5767

1.7 42.03 42.5507 0.2711 0.5882 0.60891.619 41.98 41.798 0.0331 0.6176 0.6105

1.5455 41.62 41.0631 0.3101 0.6471 0.62471.4783 41.5 40.3093 1.4178 0.6765 0.62981.4167 41.05 39.5708 2.1881 0.7059 0.6476

1.36 40.14 38.8103 1.7681 0.7353 0.68311.3077 38.63 38.0202 0.3719 0.7647 0.74221.2593 38.32 37.2183 1.2138 0.7941 0.75351.2143 37.73 36.3623 1.8706 0.8235 0.77571.1724 33.42 35.4326 4.0505 0.8529 0.90791.1333 33.12 34.424 1.7003 0.8824 0.91461.0968 31.03 33.2538 4.9454 0.9118 0.9541.0625 30.89 31.8123 0.8506 0.9412 0.9561.0303 26.56 29.7452 10.1456 0.9706 0.9928

Error Cuadratico

Prob. Teorica

PROGRAMA DE FUNCIONES DE DISTRIBUCION AX+BFrechet_Doble


3.65847585 0.15725558 4.21042552 0.13831825 0.81818182


34 96.46 87.832 74.4422 0.0294 0.015617 83.23 78.8659 19.0454 0.0588 0.0419

11.3333 72.69 73.6354 0.8938 0.0882 0.09488.5 68.32 69.7706 2.1041 0.1176 0.13046.8 62.07 66.5452 20.0277 0.1471 0.1923

5.6667 61.08 63.6115 6.4085 0.1765 0.20254.8571 61.07 60.7472 0.1042 0.2059 0.2026

4.25 58.69 57.8157 0.7644 0.2353 0.22663.7778 53.32 54.9131 2.538 0.2647 0.2826

3.4 51.6 52.3909 0.6256 0.2941 0.30493.0909 49.14 50.371 1.5154 0.3235 0.34512.8333 48.38 48.7371 0.1275 0.3529 0.36022.6154 47.5 47.3706 0.0167 0.3824 0.37942.4286 46.18 46.1935 0.0002 0.4118 0.41212.2667 44 45.1557 1.3357 0.4412 0.4781

2.125 43.83 44.2237 0.155 0.4706 0.48392 43.74 43.374 0.1339 0.5 0.487

1.8889 43.54 42.5894 0.9037 0.5294 0.49411.7895 42.85 41.8566 0.9869 0.5588 0.5194

1.7 42.03 41.1653 0.7476 0.5882 0.55171.619 41.98 40.5072 2.1692 0.6176 0.5537

1.5455 41.62 39.8749 3.0453 0.6471 0.56871.4783 41.5 39.2622 5.0079 0.6765 0.57381.4167 41.05 38.663 5.6976 0.7059 0.5933

1.36 40.14 38.0717 4.2781 0.7353 0.63461.3077 38.63 37.4818 1.3183 0.7647 0.70751.2593 38.32 36.8867 2.0543 0.7941 0.72291.2143 37.73 36.2775 2.1097 0.8235 0.75231.1724 33.42 35.6424 4.9391 0.8529 0.93831.1333 33.12 34.9639 3.3999 0.8824 0.9471.0968 31.03 34.2115 10.1222 0.9118 0.9871.0625 30.89 33.3234 5.9215 0.9412 0.98851.0303 26.56 32.1209 30.9241 0.9706 1

Error Cuadratico

Prob. Teorica

PROGRAMA DE FUNCIONES DE DISTRIBUCION AX+BGumbel_Doble_Momentos


6.73214275 39.4330303 10.650045 67.8276272 0.81818182


34 96.46 86.5983 97.2524 0.0294 0.012117 83.23 78.396 23.3675 0.0588 0.0394

11.3333 72.69 73.1363 0.1992 0.0882 0.09128.5 68.32 68.9999 0.4623 0.1176 0.1236.8 62.07 65.4099 11.1548 0.1471 0.177

5.6667 61.08 62.1294 1.1013 0.1765 0.18644.8571 61.07 59.1039 3.8657 0.2059 0.1865

4.25 58.69 56.3993 5.2471 0.2353 0.21013.7778 53.32 54.0893 0.5918 0.2647 0.2758

3.4 51.6 52.1621 0.3159 0.2941 0.30383.0909 49.14 50.5466 1.9786 0.3235 0.35362.8333 48.38 49.1673 0.6199 0.3529 0.37182.6154 47.5 47.9637 0.2151 0.3824 0.39472.4286 46.18 46.8926 0.5078 0.4118 0.43312.2667 44 45.9225 3.6961 0.4412 0.5074

2.125 43.83 45.0309 1.4422 0.4706 0.51382 43.74 44.201 0.2125 0.5 0.5172

1.8889 43.54 43.4197 0.0145 0.5294 0.52481.7895 42.85 42.6768 0.03 0.5588 0.5518

1.7 42.03 41.964 0.0044 0.5882 0.58551.619 41.98 41.274 0.4984 0.6176 0.5876

1.5455 41.62 40.6005 1.0393 0.6471 0.60281.4783 41.5 39.9376 2.4411 0.6765 0.60791.4167 41.05 39.2792 3.1356 0.7059 0.6274

1.36 40.14 38.6194 2.3123 0.7353 0.66751.3077 38.63 37.951 0.461 0.7647 0.73481.2593 38.32 37.2658 1.1113 0.7941 0.74851.2143 37.73 36.5528 1.3858 0.8235 0.77431.1724 33.42 35.7967 5.6488 0.8529 0.92891.1333 33.12 34.9738 3.4367 0.8824 0.93641.0968 31.03 34.0427 9.0765 0.9118 0.97491.0625 30.89 32.9167 4.1073 0.9412 0.97671.0303 26.56 31.3432 22.8791 0.9706 0.9991

Error Cuadratico

Prob. Teorica

PROGRAMA DE FUNCIONES DE DISTRIBUCION AX+BFrechet


3.70763804 0.2234556


34 96.46 89.3263 50.8897 0.0294 0.020917 83.23 76.2484 48.743 0.0588 0.0401

11.3333 72.69 69.4003 10.8223 0.0882 0.07238.5 68.32 64.8456 12.0713 0.1176 0.09436.8 62.07 61.4638 0.3675 0.1471 0.1412

5.6667 61.08 58.7859 5.2627 0.1765 0.15094.8571 61.07 56.5733 20.2203 0.2059 0.151

4.25 58.69 54.6887 16.0103 0.2353 0.17763.7778 53.32 53.0463 0.0749 0.2647 0.2595

3.4 51.6 51.5891 0.0001 0.2941 0.29393.0909 49.14 50.2771 1.293 0.3235 0.35142.8333 48.38 49.0815 0.492 0.3529 0.37142.6154 47.5 47.9804 0.2308 0.3824 0.39592.4286 46.18 46.9574 0.6043 0.4118 0.43552.2667 44 45.9991 3.9963 0.4412 0.5083

2.125 43.83 45.0949 1.5999 0.4706 0.51442 43.74 44.2359 0.2459 0.5 0.5176

1.8889 43.54 43.4148 0.0157 0.5294 0.52481.7895 42.85 42.6251 0.0506 0.5588 0.5503

1.7 42.03 41.8611 0.0285 0.5882 0.58171.619 41.98 41.1174 0.7441 0.6176 0.5836

1.5455 41.62 40.3892 1.5149 0.6471 0.59771.4783 41.5 39.6714 3.3436 0.6765 0.60241.4167 41.05 38.9591 4.3717 0.7059 0.6203

1.36 40.14 38.2467 3.5844 0.7353 0.65721.3077 38.63 37.5279 1.2146 0.7647 0.71951.2593 38.32 36.7949 2.3258 0.7941 0.73231.2143 37.73 36.0376 2.8641 0.8235 0.75651.1724 33.42 35.2417 3.3187 0.8529 0.9121.1333 33.12 34.3852 1.6006 0.8824 0.92041.0968 31.03 33.4296 5.758 0.9118 0.96621.0625 30.89 32.2955 1.9755 0.9412 0.96851.0303 26.56 30.7541 17.5908 0.9706 0.9989

Error Cuadratico

Prob. Teorica

PROGRAMA DE FUNCIONES DE DISTRIBUCION AX+BLogNormal_2p_Doble


0.19738137 3.74910999 0.18310091 4.28696423 0.81818182


34 96.46 87.2088 85.5844 0.0294 0.011217 83.23 79.2403 15.9175 0.0588 0.0422

11.3333 72.69 73.6513 0.924 0.0882 0.09388.5 68.32 68.938 0.3819 0.1176 0.12196.8 62.07 64.8004 7.4553 0.1471 0.1692

5.6667 61.08 61.2263 0.0214 0.1765 0.17794.8571 61.07 58.294 7.7063 0.2059 0.178

4.25 58.69 55.901 7.7784 0.2353 0.20153.7778 53.32 53.959 0.4084 0.2647 0.2759

3.4 51.6 52.3448 0.5547 0.2941 0.30923.0909 49.14 50.9432 3.2516 0.3235 0.36732.8333 48.38 49.7071 1.7612 0.3529 0.38842.6154 47.5 48.5826 1.1719 0.3824 0.41412.4286 46.18 47.5767 1.9508 0.4118 0.45562.2667 44 46.6318 6.9263 0.4412 0.5329

2.125 43.83 45.744 3.6633 0.4706 0.53922 43.74 44.8897 1.3219 0.5 0.5426

1.8889 43.54 44.0818 0.2935 0.5294 0.54971.7895 42.85 43.3113 0.2128 0.5588 0.5761

1.7 42.03 42.5494 0.2698 0.5882 0.60861.619 41.98 41.7902 0.036 0.6176 0.6102

1.5455 41.62 41.0591 0.3146 0.6471 0.62441.4783 41.5 40.3086 1.4193 0.6765 0.62961.4167 41.05 39.5634 2.21 0.7059 0.6474

1.36 40.14 38.8061 1.7793 0.7353 0.68321.3077 38.63 38.0284 0.3619 0.7647 0.74241.2593 38.32 37.2294 1.1893 0.7941 0.75381.2143 37.73 36.3671 1.8575 0.8235 0.77611.1724 33.42 35.4582 4.1544 0.8529 0.90841.1333 33.12 34.4351 1.7296 0.8824 0.91521.0968 31.03 33.2767 5.0479 0.9118 0.95451.0625 30.89 31.8312 0.8859 0.9412 0.95641.0303 26.56 29.7772 10.3502 0.9706 0.9929

Error Cuadratico

Prob. Teorica

PROGRAMA DE FUNCIONES DE DISTRIBUCION AX+BLogNormal_2p_Stigth_Doble


0.19738137 3.74979278 0.18310091 4.28971932 0.81818182


34 96.46 87.4478 81.219 0.0294 0.011517 83.23 79.4744 14.1045 0.0588 0.0431

11.3333 72.69 73.8425 1.3282 0.0882 0.09498.5 68.32 69.103 0.613 0.1176 0.1236.8 62.07 64.9495 8.2918 0.1471 0.1701

5.6667 61.08 61.3421 0.0687 0.1765 0.17884.8571 61.07 58.3694 7.2934 0.2059 0.1789

4.25 58.69 55.9743 7.3748 0.2353 0.20243.7778 53.32 54.0224 0.4933 0.2647 0.2768

3.4 51.6 52.3757 0.6017 0.2941 0.31013.0909 49.14 50.9707 3.3516 0.3235 0.36822.8333 48.38 49.7448 1.8626 0.3529 0.38942.6154 47.5 48.6183 1.2506 0.3824 0.41512.4286 46.18 47.611 2.0478 0.4118 0.45662.2667 44 46.6649 7.102 0.4412 0.534

2.125 43.83 45.7762 3.7876 0.4706 0.54032 43.74 44.9211 1.395 0.5 0.5437

1.8889 43.54 44.1124 0.3277 0.5294 0.55091.7895 42.85 43.3304 0.2308 0.5588 0.5773

1.7 42.03 42.5681 0.2895 0.5882 0.60971.619 41.98 41.8189 0.0259 0.6176 0.6113

1.5455 41.62 41.0873 0.2838 0.6471 0.62551.4783 41.5 40.3363 1.3542 0.6765 0.63071.4167 41.05 39.6004 2.1014 0.7059 0.6485

1.36 40.14 38.8424 1.6839 0.7353 0.68421.3077 38.63 38.0545 0.3312 0.7647 0.74341.2593 38.32 37.2549 1.1344 0.7941 0.75481.2143 37.73 36.4011 1.766 0.8235 0.7771.1724 33.42 35.4736 4.2172 0.8529 0.9091.1333 33.12 34.4673 1.8151 0.8824 0.91571.0968 31.03 33.2995 5.1505 0.9118 0.95481.0625 30.89 31.8609 0.9427 0.9412 0.95671.0303 26.56 29.805 10.5297 0.9706 0.993

Error Cuadratico

Prob. Teorica

PROGRAMA DE FUNCIONES DE DISTRIBUCION AX+BGumbel_Doble_ML


7.01815796 39.2679379 11.769987 67.1811791 0.81818182


34 96.46 87.9499 72.4213 0.0294 0.014717 83.23 78.9513 18.3076 0.0588 0.0426

11.3333 72.69 73.2404 0.3029 0.0882 0.09168.5 68.32 68.8265 0.2565 0.1176 0.12146.8 62.07 65.0999 9.1801 0.1471 0.1741

5.6667 61.08 61.824 0.5535 0.1765 0.18374.8571 61.07 58.9218 4.6149 0.2059 0.1838

4.25 58.69 56.3848 5.3141 0.2353 0.20843.7778 53.32 54.2038 0.7812 0.2647 0.2781

3.4 51.6 52.3419 0.5504 0.2941 0.30723.0909 49.14 50.7434 2.571 0.3235 0.35782.8333 48.38 49.3534 0.9476 0.3529 0.3762.6154 47.5 48.1255 0.3913 0.3824 0.39872.4286 46.18 47.0239 0.7122 0.4118 0.43632.2667 44 46.0212 4.0853 0.4412 0.5083

2.125 43.83 45.0967 1.6045 0.4706 0.51442 43.74 44.2344 0.2444 0.5 0.5177

1.8889 43.54 43.4216 0.014 0.5294 0.5251.7895 42.85 42.6481 0.0408 0.5588 0.551

1.7 42.03 41.9056 0.0155 0.5882 0.58321.619 41.98 41.1867 0.6294 0.6176 0.5852

1.5455 41.62 40.4848 1.2886 0.6471 0.59981.4783 41.5 39.7938 2.9112 0.6765 0.60471.4167 41.05 39.1075 3.7731 0.7059 0.6233

1.36 40.14 38.4197 2.9595 0.7353 0.66171.3077 38.63 37.723 0.8227 0.7647 0.72631.2593 38.32 37.0086 1.7197 0.7941 0.73951.2143 37.73 36.2654 2.1452 0.8235 0.76441.1724 33.42 35.4771 4.2318 0.8529 0.9181.1333 33.12 34.6193 2.2478 0.8824 0.92591.0968 31.03 33.6486 6.8571 0.9118 0.96781.0625 30.89 32.4747 2.5113 0.9412 0.96981.0303 26.56 30.8344 18.2705 0.9706 0.9982

Error Cuadratico

Prob. Teorica

PROGRAMA DE FUNCIONES DE DISTRIBUCION AX+BGumbel_Doble_MC


6.13546711 40.3102639 14.6187876 67.1183236 0.81818182


34 96.46 92.5658 15.1647 0.0294 0.022917 83.23 81.1718 4.2363 0.0588 0.0521

11.3333 72.69 73.9118 1.4928 0.0882 0.09428.5 68.32 68.3643 0.002 0.1176 0.11796.8 62.07 63.8708 3.2428 0.1471 0.1608

5.6667 61.08 60.2219 0.7363 0.1765 0.1694.8571 61.07 57.2998 14.2144 0.2059 0.169

4.25 58.69 54.9628 13.892 0.2353 0.19113.7778 53.32 53.0652 0.0649 0.2647 0.2604

3.4 51.6 51.4884 0.0125 0.2941 0.29193.0909 49.14 50.1455 1.0111 0.3235 0.34862.8333 48.38 48.9768 0.3561 0.3529 0.36952.6154 47.5 47.9397 0.1933 0.3824 0.39582.4286 46.18 47.0041 0.6792 0.4118 0.442.2667 44 46.1483 4.615 0.4412 0.5256

2.125 43.83 45.3555 2.3273 0.4706 0.53292 43.74 44.6133 0.7627 0.5 0.5368

1.8889 43.54 43.9116 0.1381 0.5294 0.54561.7895 42.85 43.2422 0.1538 0.5588 0.5766

1.7 42.03 42.5982 0.3229 0.5882 0.6151.619 41.98 41.9737 0 0.6176 0.6173

1.5455 41.62 41.3632 0.066 0.6471 0.63461.4783 41.5 40.7615 0.5454 0.6765 0.64041.4167 41.05 40.1634 0.786 0.7059 0.6623

1.36 40.14 39.5636 0.3323 0.7353 0.7071.3077 38.63 38.9557 0.106 0.7647 0.78021.2593 38.32 38.3321 0.0001 0.7941 0.79471.2143 37.73 37.683 0.0022 0.8235 0.82141.1724 33.42 36.9945 12.7772 0.8529 0.96221.1333 33.12 36.245 9.7657 0.8824 0.96761.0968 31.03 35.3968 19.0688 0.9118 0.99131.0625 30.89 34.371 12.1171 0.9412 0.99211.0303 26.56 32.9371 40.6669 0.9706 0.9999

Error Cuadratico

Prob. Teorica

PROGRAMA DE FUNCIONES DE DISTRIBUCION AX+BRESUMEN DE RESULTADOS

Funcion Error_Cuad Orden Kolmogorov Orden 2

Gumbel_Doble_MC 2.3894 1 0.1092 11Gumbel_Doble_ML 2.4877 2 0.0826 3LogNormal_2p_Stigth_Doble 2.4955 3 0.0928 7LogNormal_2p_Doble 2.5276 4 0.0917 5Frechet 2.6834 5 0.0855 4Gumbel_Doble_Momentos 2.7374 6 0.0785 1Frechet_Doble 2.7637 7 0.1126 12LogNormal_2p_MV_Doble 2.7896 8 0.0925 6Exponencial_2p 3.1196 9 0.4814 29Gumbel_Doble_MV 3.1336 10 0.0806 2Gamma_3p 3.1472 11 0.1063 10LogNormal_3p 3.3405 12 0.1019 9LogNormal_3p_MV 3.458 13 0.0996 8Gumbel 3.4874 14 0.114 13Gumbel_ML 3.624 15 0.1171 14LogNormal_2p_Stigth 3.6879 16 0.1215 17LogNormal_2p 3.7012 17 0.1197 16Gumbel_ME 4.0147 18 0.1248 18Gamma_2p 4.2299 19 0.1334 20Gumbel_MV 4.3226 20 0.1181 15LogNormal_2p_MV 4.349 21 0.1327 19Gamma_2p_ML 4.4878 22 0.1421 21Gamma_2p_MV 4.7453 23 0.1491 22Exponencial_2p_MV 4.9664 24 0.2431 26Normal 5.5671 25 0.1715 23Normal_ML 5.672 26 0.179 24Gumbel_MC 7.0579 27 0.2088 25Gamma_3p_MV 9.3654 28 0.3299 27Exponencial_1p 26.634 29 0.4133 28

Orden 3 Ji Cuadrado Orden 4 Orden 6

1.7455 20 0.0896 1 0.9575 140.2368 2 0.1083 2 0.9736 40.7709 9 0.1205 4 0.9775 10.7101 8 0.1222 5 0.9775 20.2896 3 0.1433 6 0.9691 70.4287 4 0.1158 3 0.9692 60.1124 1 0.163 8 0.9627 120.7955 11 0.1596 7 0.9755 31.2152 16 0.7171 22 0.948 200.6616 7 0.1819 9 0.9694 57.4248 29 0.1893 10 0.9561 170.4419 5 0.2002 12 0.9688 80.4539 6 0.1994 11 0.9671 90.7859 10 0.2398 13 0.964 100.9103 13 0.2567 14 0.9638 111.0508 15 0.2851 16 0.9573 150.9632 14 0.2842 15 0.9571 161.2423 17 0.3202 17 0.9587 13

1.457 19 0.4269 19 0.9348 230.9057 12 0.3698 18 0.9543 181.4055 18 0.4395 20 0.9525 191.7502 21 0.5597 21 0.9405 211.9985 22 0.7305 23 0.9399 222.9606 24 0.8138 24 0.8377 26

2.931 23 1.6638 25 0.8518 253.1266 26 3.0965 28 0.8828 246.5023 28 2.2051 27 0.8208 273.5593 27 2.1219 26 0.572 283.0104 25 3.5891 29 -11.4561 29

Anderson Darling

Nash-Sutcliffe

rEPORTE AX+B

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