28
Min 0 Max 10000 LINEAS PRINCIPALES Tr P(x) Z Normal Z Gumbel Rango 1.01 0.9900990 -2.330 -1.642 0.0 1.01 0.9900990 -2.330 -1.642 10000 1.1 0.9090909 -1.335 -1.132 0 1.1 0.9090909 -1.335 -1.132 10000 1.5 0.6666667 -0.431 -0.523 0 1.5 0.6666667 -0.431 -0.523 10000 2.33 0.4291845 0.178 0.001 0 2.33 0.4291845 0.178 0.001 10000 5 0.2000000 0.842 0.719 0 5 0.2000000 0.842 0.719 10000 10 0.1000000 1.282 1.305 0 10 0.1000000 1.282 1.305 10000 25 0.0400000 1.751 2.044 0 25 0.0400000 1.751 2.044 10000 50 0.0200000 2.054 2.592 0 50 0.0200000 2.054 2.592 10000 100 0.0100000 2.326 3.137 0 100 0.0100000 2.326 3.137 10000 200 0.0050000 2.576 3.679 0 200 0.0050000 2.576 3.679 10000 500 0.0020000 2.878 4.395 0 500 0.0020000 2.878 4.395 10000 1000 0.0010000 3.090 4.936 0 1000 0.0010000 3.090 4.936 10000 10000 0.0001000 3.719 6.731 0 10000 0.0001000 3.719 6.731 10000 100000 0.0000100 4.265 8.527 0

AF Max - Pruebas de Ajuste

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Análisis de frecuencia para estimar caudales máximos

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Min 0 Max 10000

LINEAS PRINCIPALES LINEAS SECUNDARIAS

Tr P(x) Z Normal Z Gumbel Rango Tr

1.01 0.9900990 -2.330 -1.642 0.0 1.021.01 0.9900990 -2.330 -1.642 10000 1.02

1.1 0.9090909 -1.335 -1.132 0 1.031.1 0.9090909 -1.335 -1.132 10000 1.03

1.5 0.6666667 -0.431 -0.523 0 1.041.5 0.6666667 -0.431 -0.523 10000 1.04

2.33 0.4291845 0.178 0.001 0 1.052.33 0.4291845 0.178 0.001 10000 1.05

5 0.2000000 0.842 0.719 0 1.065 0.2000000 0.842 0.719 10000 1.06

10 0.1000000 1.282 1.305 0 1.0710 0.1000000 1.282 1.305 10000 1.07

25 0.0400000 1.751 2.044 0 1.0825 0.0400000 1.751 2.044 10000 1.08

50 0.0200000 2.054 2.592 0 1.0950 0.0200000 2.054 2.592 10000 1.09

100 0.0100000 2.326 3.137 0 1.2100 0.0100000 2.326 3.137 10000 1.2

200 0.0050000 2.576 3.679 0 1.3200 0.0050000 2.576 3.679 10000 1.3

500 0.0020000 2.878 4.395 0 1.4500 0.0020000 2.878 4.395 10000 1.4

1000 0.0010000 3.090 4.936 0 1.61000 0.0010000 3.090 4.936 10000 1.6

10000 0.0001000 3.719 6.731 0 1.710000 0.0001000 3.719 6.731 10000 1.7

100000 0.0000100 4.265 8.527 0 1.8100000 0.0000100 4.265 8.527 10000 1.8

1000000 0.0000010 4.753 10.322 0 1.9

1000000 0.0000010 4.753 10.322 10000 1.9

22

33

44

66

77

88

99

1515

2020

3030

3535

4040

4545

6060

7070

80

80

9090

125125

150150

175175

300300

400400

625625

750750

875875

25002500

50005000

75007500

2500025000

5000050000

7500075000

250000

250000

500000500000

750000750000

LINEAS SECUNDARIAS

P(x) Z Normal Z Gumbel Rango

0.9803922 -2.062 -1.518 00.9803922 -2.062 -1.518 10000

0.9708738 -1.894 -1.435 00.9708738 -1.894 -1.435 10000

0.9615385 -1.769 -1.371 00.9615385 -1.769 -1.371 10000

0.9523810 -1.668 -1.318 00.9523810 -1.668 -1.318 10000

0.9433962 -1.584 -1.273 00.9433962 -1.584 -1.273 10000

0.9345794 -1.511 -1.232 00.9345794 -1.511 -1.232 10000

0.9259259 -1.446 -1.196 00.9259259 -1.446 -1.196 10000

0.9174312 -1.388 -1.163 00.9174312 -1.388 -1.163 10000

0.8333333 -0.967 -0.905 00.8333333 -0.967 -0.905 10000

0.7692308 -0.736 -0.748 00.7692308 -0.736 -0.748 10000

0.7142857 -0.566 -0.626 00.7142857 -0.566 -0.626 10000

0.6250000 -0.319 -0.435 00.6250000 -0.319 -0.435 10000

0.5882353 -0.223 -0.357 00.5882353 -0.223 -0.357 10000

0.5555556 -0.140 -0.287 00.5555556 -0.140 -0.287 10000

0.5263158 -0.066 -0.223 0

0.5263158 -0.066 -0.223 10000

0.5000000 0.000 -0.164 00.5000000 0.000 -0.164 10000

0.3333333 0.431 0.254 00.3333333 0.431 0.254 10000

0.2500000 0.674 0.521 00.2500000 0.674 0.521 10000

0.1666667 0.967 0.877 00.1666667 0.967 0.877 10000

0.1428571 1.068 1.008 00.1428571 1.068 1.008 10000

0.1250000 1.150 1.120 00.1250000 1.150 1.120 10000

0.1111111 1.221 1.218 00.1111111 1.221 1.218 10000

0.0666667 1.501 1.635 00.0666667 1.501 1.635 10000

0.0500000 1.645 1.866 00.0500000 1.645 1.866 10000

0.0333333 1.834 2.189 00.0333333 1.834 2.189 10000

0.0285714 1.902 2.311 00.0285714 1.902 2.311 10000

0.0250000 1.960 2.416 00.0250000 1.960 2.416 10000

0.0222222 2.010 2.509 00.0222222 2.010 2.509 10000

0.0166667 2.128 2.736 00.0166667 2.128 2.736 10000

0.0142857 2.189 2.857 00.0142857 2.189 2.857 10000

0.0125000 2.241 2.962 0

0.0125000 2.241 2.962 10000

0.0111111 2.287 3.054 00.0111111 2.287 3.054 10000

0.0080000 2.409 3.311 00.0080000 2.409 3.311 10000

0.0066667 2.475 3.454 00.0066667 2.475 3.454 10000

0.0057143 2.529 3.575 00.0057143 2.529 3.575 10000

0.0033333 2.713 3.996 00.0033333 2.713 3.996 10000

0.0025000 2.807 4.221 00.0025000 2.807 4.221 10000

0.0016000 2.948 4.569 00.0016000 2.948 4.569 10000

0.0013333 3.004 4.711 00.0013333 3.004 4.711 10000

0.0011429 3.050 4.831 00.0011429 3.050 4.831 10000

0.0004000 3.353 5.650 00.0004000 3.353 5.650 10000

0.0002000 3.540 6.191 00.0002000 3.540 6.191 10000

0.0001333 3.646 6.507 00.0001333 3.646 6.507 10000

0.0000400 3.944 7.446 00.0000400 3.944 7.446 10000

0.0000200 4.107 7.986 00.0000200 4.107 7.986 10000

0.0000133 4.200 8.302 00.0000133 4.200 8.302 10000

0.0000040 4.465 9.241 0

0.0000040 4.465 9.241 10000

0.0000020 4.611 9.781 00.0000020 4.611 9.781 10000

0.0000013 4.695 10.098 00.0000013 4.695 10.098 10000

ANÁLISIS DE FRECUENCIAS MÁXIMOS

ESTACIÓN: La Joya

Año Tr Z Normal Z Gumbel1981 1.41 0.710 -0.212 -0.552 -0.6161982 1.19 0.839 -0.601 -0.989 -0.9191983 1.24 0.806 -0.496 -0.865 -0.8371984 1.55 0.645 -0.035 -0.372 -0.4781985 1.15 0.871 -0.717 -1.131 -1.0091986 2.21 0.452 0.510 0.122 -0.0531987 1.72 0.581 0.140 -0.204 -0.3411988 1.41 0.710 -0.212 -0.552 -0.6161989 2.38 0.419 0.610 0.204 0.0251990 2.58 0.387 0.714 0.287 0.1071991 1.11 0.903 -0.848 -1.300 -1.1111992 1.07 0.935 -1.008 -1.518 -1.2361993 1.48 0.677 -0.123 -0.460 -0.5461994 1.63 0.613 0.052 -0.287 -0.4091995 3.44 0.290 1.070 0.552 0.3841996 1.29 0.774 -0.397 -0.753 -0.7601997 1.03 0.968 -1.234 -1.849 -1.4121998 1.82 0.548 0.230 -0.122 -0.2711999 7.75 0.129 1.979 1.131 1.0932000 7.75 0.129 1.979 1.131 1.0932001 4.43 0.226 1.363 0.753 0.6132002 2.07 0.484 0.413 0.040 -0.1282004 2.82 0.355 0.825 0.372 0.1932005 3.10 0.323 0.943 0.460 0.2852006 3.88 0.258 1.209 0.649 0.4932007 5.17 0.194 1.537 0.865 0.7482008 10.33 0.097 2.285 1.300 1.3322009 31.00 0.032 3.418 1.849 2.2152010 15.50 0.065 2.708 1.518 1.6612011 1.94 0.516 0.320 -0.040 -0.200

n 300.5471.139

Cs 0.691

P(X>xTR) YTR (Gumbel)

m s

A5
Sebastian Barbosa Gil: Ingresar sin años faltantes

Ajuste a distribucion Gumbel (ó Tipo I de valores extremos)

Factor de frecuencia acorde con el numero de datos

Tr Ym Kf Z Normal

1.01 0.990 -1.529 -1.823 -2.3302.33 0.429 0.579 0.027 0.178

5 0.200 1.500 0.836 0.84210 0.100 2.250 1.495 1.28220 0.050 2.970 2.128 1.64525 0.040 3.199 2.328 1.75130 0.033 3.384 2.491 1.83450 0.020 3.902 2.946 2.054

100 0.010 4.600 3.559 2.326500 0.002 6.214 4.975 2.878

1000 0.001 6.907 5.585 3.090

Ajuste a distribucion Normal de dos parametros

Tr Kf Z Normal Z Gumbel

1.01 0.990 -2.330 -2.330 -1.642

2.33 0.429 0.178 0.178 0.001

5 0.200 0.842 0.842 0.719

10 0.100 1.282 1.282 1.305

20 0.050 1.645 1.645 1.866

25 0.040 1.751 1.751 2.044

30 0.033 1.834 1.834 2.189

50 0.020 2.054 2.054 2.592

100 0.010 2.326 2.326 3.137

500 0.002 2.878 2.878 4.395

1000 0.001 3.090 3.090 4.936

Ajuste a distribucion Pearson Tipo III

TrKf

Z NormalArit Log

1.01 0.990 -1.784 -2.191 -2.3302.33 0.429 0.055 0.148 0.178

5 0.200 0.784 0.831 0.84210 0.100 1.332 1.300 1.28220 0.050 1.825 1.696 1.64525 0.040 1.976 1.814 1.75130 0.033 2.098 1.906 1.83450 0.020 2.428 2.153 2.054

100 0.010 2.857 2.464 2.326500 0.002 3.800 3.108 2.878

1000 0.001 4.188 3.361 3.090

P(X>xTR)

P(X>xTR)

P(X>xTR)

Orden442 6.091 22379 5.938 26415 6.028 25480 6.174 20356 5.874 27573 6.351 14538 6.288 18442 6.091 22615 6.422 13623 6.435 12356 5.874 28324 5.782 29449 6.107 21512 6.239 19810 6.697 9439 6.083 24287 5.660 30548 6.305 17

1065 6.971 41065 6.971 4920 6.824 7571 6.347 15723 6.583 11795 6.678 10904 6.807 8945 6.851 6

1082 6.987 31308 7.176 11141 7.040 2562 6.332 16

655.600 6.400280.674 0.418

0.742 0.188

QMaxIns (m3/s) Ln QMaxIns (m3/s)

Ajuste a distribucion Gumbel (ó Tipo I de valores extremos)

Z GumbelGumbel Log Gumbel

-1.642 143.800 280.6680.001 663.310 608.9140.719 890.383 854.2331.305 1075.330 1125.4401.866 1252.735 1466.1742.044 1309.011 1594.4902.189 1354.792 1707.1182.592 1482.369 2064.7343.137 1654.447 2668.5654.395 2052.092 4827.6734.936 2223.046 6229.073

Normal Log Normal

1.607 227.054705.686 648.624891.821 856.067

1015.298 1029.0931117.268 1198.0521146.972 1252.2991170.332 1296.6801232.034 1421.6161308.545 1593.3841463.425 2007.2391522.948 2193.500

Z GumbelPearson Log Pearson

-1.642 154.797 240.6590.001 671.075 640.3580.719 875.531 852.2841.305 1029.352 1036.9951.866 1167.932 1224.2082.044 1210.332 1285.7262.189 1244.331 1336.5602.592 1336.951 1482.0713.137 1457.584 1687.8564.395 1722.061 2210.1544.936 1831.166 2457.097

Valor esperado (m3/s)

Valor esperado (m3/s)

Valor esperado (m3/s)

PRUEBAS DE BONDAD DE AJUSTE

ESTACIÓN: La Joya

NORMAL LOGNORMAL GUMBEL

m 655.600 6.400 a

s 280.674 0.418 b

Cs 0.742 0.188

Tr Q observadoGUMBEL

f(x) F(X)0.29032 1.41 442.00 0.00153 0.225350.16129 1.19 379.00 0.00124 0.137080.19355 1.24 415.00 0.00143 0.185300.35484 1.55 480.00 0.00164 0.285760.12903 1.15 355.70 0.00111 0.109650.54839 2.21 573.00 0.00165 0.440900.41935 1.72 538.00 0.00168 0.382530.29032 1.41 442.00 0.00153 0.225350.58065 2.38 615.00 0.00157 0.508690.61290 2.58 623.10 0.00155 0.521340.09677 1.11 355.50 0.00111 0.109430.06452 1.07 324.40 0.00091 0.078050.32258 1.48 448.90 0.00156 0.236010.38710 1.63 512.40 0.00168 0.339520.70968 3.44 810.00 0.00096 0.757840.22581 1.29 438.50 0.00152 0.220000.03226 1.03 287.20 0.00067 0.048660.45161 1.82 547.50 0.00168 0.398460.87097 7.75 1065.00 0.00036 0.917160.87097 7.75 1065.00 0.00036 0.917160.77419 4.43 919.80 0.00065 0.845450.51613 2.07 570.90 0.00165 0.437440.64516 2.82 723.00 0.00125 0.661900.67742 3.10 795.00 0.00101 0.743080.74194 3.88 904.00 0.00069 0.834890.80645 5.17 945.00 0.00059 0.861030.90323 10.33 1082.00 0.00034 0.923110.96774 31.00 1308.00 0.00013 0.971920.93548 15.50 1141.00 0.00026 0.940730.48387 1.94 562.10 0.00166 0.42284

mLN

sLN

CsLN

Fs(x)=1-P(X>xTR) (Weibull)

PRUEBA SMIRNOV-KOLMOGOROV

Q observado Gumbel LogGumbel Normal LogNormal442.00 0.06498 0.05506 0.06700 0.06011379.00 0.02421 0.06285 0.00090 0.02685415.00 0.00825 0.02072 0.00211 0.00649480.00 0.06907 0.02980 0.08906 0.06060355.70 0.01938 0.06919 0.01362 0.02471573.00 0.10748 0.02793 0.16412 0.09528

538.00 0.03683 0.03348 0.08174 0.02517442.00 0.06498 0.05506 0.06700 0.06011615.00 0.07196 0.01046 0.13815 0.06021623.10 0.09157 0.00945 0.15899 0.08002355.50 0.01265 0.03722 0.04571 0.00731324.40 0.01354 0.04063 0.05448 0.00527448.90 0.08657 0.07099 0.09185 0.08097512.40 0.04757 0.01146 0.08214 0.03696810.00 0.04817 0.08801 0.00080 0.05129438.50 0.00581 0.00121 0.00619 0.00133287.20 0.01640 0.02785 0.06241 0.00623

547.50 0.05315 0.02036 0.10155 0.04125

1065.00 0.04620 0.03596 0.05670 0.042671065.00 0.04620 0.03596 0.05670 0.04267919.80 0.07126 0.08386 0.05253 0.07033

570.90 0.07869 0.00049 0.13472 0.06650723.00 0.01674 0.08084 0.05027 0.02410795.00 0.06566 0.10971 0.01287 0.06948904.00 0.09295 0.10898 0.06999 0.09249945.00 0.05458 0.06211 0.04230 0.05299

1082.00 0.01988 0.00791 0.03242 0.016221308.00 0.00417 0.01844 0.02221 0.000441141.00 0.00525 0.01152 0.02265 0.00129562.10 0.06103 0.01638 0.11435 0.04889

Dn 0.10748 0.10971 0.16412 0.09528

JERARQUIAAjusta Ajusta Ajusta Ajusta

3 4 6 2

N 30a 0.05

0.24830

JERARQUIA

Gumbel 3 4

LogGumbel 4 5Normal 6 6

LogNormal 2 1

Pearson 5 3LogPearson 1 2

Da

Smirnov-Kolmogorov

c2

PRUEBAS DE BONDAD DE AJUSTE

GUMBEL LOG-GUMBEL PEARSON LOG-PEARSON

218.841 a 0.326 q 104.16 q

529.285 b 6.212 k 7.26 k

-100.69

LOG-GUMBEL NORMAL LOG-NORMALf(x) F(X) f(x) F(X) f(x) F(X)

0.00236 0.23526 0.00106 0.22332 0.00164 0.230210.00185 0.09844 0.00087 0.16219 0.00137 0.134440.00224 0.17283 0.00098 0.19566 0.00155 0.187060.00233 0.32504 0.00117 0.26578 0.00172 0.294240.00145 0.05984 0.00080 0.14265 0.00122 0.104330.00182 0.52046 0.00136 0.38427 0.00165 0.453110.00204 0.45284 0.00130 0.33761 0.00171 0.394180.00236 0.23526 0.00106 0.22332 0.00164 0.230210.00155 0.59111 0.00141 0.44249 0.00155 0.520430.00150 0.60345 0.00141 0.45391 0.00152 0.532880.00145 0.05955 0.00080 0.14249 0.00121 0.104080.00084 0.02388 0.00071 0.11900 0.00099 0.069780.00237 0.25159 0.00108 0.23073 0.00166 0.241610.00219 0.39856 0.00125 0.30496 0.00173 0.350140.00068 0.79769 0.00122 0.70888 0.00092 0.760970.00235 0.22702 0.00105 0.21961 0.00163 0.224480.00026 0.00441 0.00060 0.09467 0.00069 0.038490.00198 0.47197 0.00132 0.35007 0.00170 0.410370.00025 0.90693 0.00049 0.92767 0.00035 0.913640.00025 0.90693 0.00049 0.92767 0.00035 0.913640.00044 0.85805 0.00091 0.82673 0.00062 0.844520.00183 0.51662 0.00136 0.38141 0.00166 0.449630.00099 0.72600 0.00138 0.59489 0.00120 0.669260.00073 0.78713 0.00126 0.69029 0.00096 0.746900.00047 0.85092 0.00096 0.81193 0.00066 0.834430.00040 0.86856 0.00084 0.84875 0.00056 0.859440.00024 0.91114 0.00045 0.93564 0.00033 0.919450.00012 0.94930 0.00010 0.98995 0.00013 0.968180.00020 0.92396 0.00032 0.95813 0.00026 0.936770.00189 0.50025 0.00134 0.36952 0.00167 0.43498

x0 x0

J6
Sebastian Barbosa Gil: beta en excel
L6
Sebastian Barbosa Gil: beta en excel
J7
Sebastian Barbosa Gil: alpha en excel
L7
Sebastian Barbosa Gil: alpha en excel

Pearson LogPearson N 300.05462 0.05592 IQR 438.5000.00554 0.02883 Ancho Clase 212.2300.00627 0.00500 Clases 70.06549 0.05297 a 0.050.00090 0.028560.12001 0.08300 Gumbel

0.04380 0.01393 Intervalo oi

0.05462 0.05592 287.2 500.2 110.08969 0.04778 500.2 713.2 80.11010 0.06768 713.2 926.2 50.03295 0.00344 926.2 1139.2 40.03447 0.00029 1139.2 1352.2 20.07738 0.07611 1352.2 1565.2 00.04999 0.02702 1565.2 1778.2 00.02882 0.05622 1778.2 1991.2 00.00512 0.00252 1991.2 2204.2 00.03593 0.00023 2204.2 2417.2 0

0.06172 0.02964

0.04456 0.03896 v 7

0.04456 0.038960.05993 0.07048 Log Gumbel

0.09091 0.05426 Intervalo oi

0.00587 0.03325 287.2 500.2 110.04545 0.07514 500.2 713.2 80.08041 0.09324 713.2 926.2 50.04518 0.05225 926.2 1139.2 40.01909 0.01224 1139.2 1352.2 20.00876 0.00466 1352.2 1565.2 00.00685 0.00338 1565.2 1778.2 00.07193 0.03685 1778.2 1991.2 0

1991.2 2204.2 02204.2 2417.2 0

v 7

Normal

0.12001 0.09324 Intervalo oi

Ajusta Ajusta 287.2 500.2 115 1 500.2 713.2 8

713.2 926.2 5926.2 1139.2 4

1139.2 1352.2 2

PRUEBA CHI CUADRADO c2

J58
Sebastian Barbosa Gil: Modificar los intervalos para que sean los suficientes según la prueba c2 y abarquen todo el rango de caudales

1352.2 1565.2 01565.2 1778.2 01778.2 1991.2 01991.2 2204.2 02204.2 2417.2 0

v 7

Log Normal

Intervalo oi

287.2 500.2 11500.2 713.2 8713.2 926.2 5926.2 1139.2 4

1139.2 1352.2 21352.2 1565.2 01565.2 1778.2 01778.2 1991.2 01991.2 2204.2 02204.2 2417.2 0

v 7

Pearson

Intervalo oi287.2 500.2 11500.2 713.2 8713.2 926.2 5926.2 1139.2 4

1139.2 1352.2 21352.2 1565.2 01565.2 1778.2 01778.2 1991.2 01991.2 2204.2 02204.2 2417.2 0

v 6

Log Pearson

Intervalo oi287.2 500.2 11500.2 713.2 8713.2 926.2 5926.2 1139.2 4

1139.2 1352.2 21352.2 1565.2 0

1565.2 1778.2 01778.2 1991.2 01991.2 2204.2 02204.2 2417.2 0

v 6

LOG-PEARSON

0.04

113.18

1.95

PEARSON LOG-PEARSONf(x) F(X) f(x) F(X)

0.00137 0.23570 0.00174 0.234400.00116 0.15575 0.00145 0.132460.00129 0.19982 0.00165 0.188550.00145 0.28935 0.00180 0.301870.00106 0.12993 0.00129 0.100470.00151 0.42838 0.00167 0.465380.00151 0.37556 0.00175 0.405430.00137 0.23570 0.00174 0.234400.00147 0.49095 0.00154 0.532870.00146 0.50281 0.00151 0.545230.00106 0.12972 0.00129 0.100210.00092 0.09899 0.00102 0.064230.00139 0.24520 0.00176 0.246470.00149 0.33711 0.00179 0.360080.00102 0.73850 0.00087 0.765900.00136 0.23093 0.00173 0.228320.00074 0.06819 0.00068 0.032490.00151 0.38990 0.00173 0.421980.00041 0.91553 0.00034 0.909920.00041 0.91553 0.00034 0.909920.00073 0.83413 0.00058 0.844670.00151 0.42521 0.00168 0.461870.00126 0.63929 0.00115 0.678410.00106 0.72287 0.00091 0.752560.00077 0.82234 0.00062 0.835180.00066 0.85163 0.00053 0.858700.00039 0.92232 0.00032 0.915460.00013 0.97650 0.00013 0.963080.00030 0.94234 0.00025 0.932100.00151 0.41194 0.00170 0.44703

Gumbel

ei8 1.03

10 0.376 0.173 0.601 0.730 0.430 0.160 0.060 0.020 0.01

3.58 Ajusta14.07 4

Log Gumbel

ei11 0.0010 0.534 0.102 2.381 1.290 0.490 0.280 0.180 0.110 0.08

5.44 Ajusta14.07 5

Normal

ei6 4.529 0.068 0.854 0.021 0.79

(oi-ei)2/ei

c2

c2a

(oi-ei)2/ei

c2

c2a

(oi-ei)2/ei

0 0.180 0.020 0.000 0.000 0.00

6.43 Ajusta14.07 6

Log Normal

ei

9 0.6010 0.356 0.093 0.711 0.700 0.460 0.190 0.080 0.030 0.02

3.23 Ajusta14.07 1

Pearson

ei8 1.619 0.176 0.293 0.271 0.540 0.390 0.110 0.030 0.010 0.00

3.42 Ajusta12.59 3

Log Pearson

ei9 0.36

10 0.355 0.042 0.901 0.730 0.49

c2

c2a

(oi-ei)2/ei

c2

c2a

(oi-ei)2/ei

c2

c2a

(oi-ei)2/ei

0 0.230 0.110 0.050 0.03

3.29 Ajusta12.59 2

c2

c2a

0

500

1000

1500

2000

2500

1.01 1.1 1.5 2.33 5 10 25 50 100 200 500 1000

La Joya Gumbel Pearson Normal

Período de Retorno (Años)

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al (

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*Papel probabilístico de distribución Gumbel

100

1000

10000

1.01 1.1 1.5 2.335 10 25 50 100 200 500 1000

La Joya Log Gumbel Log Normal Log Pearson

Período de Retorno (Años)

Ca

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m3

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*Papel probabilístico de distribución Log Gumbel

0

500

1000

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2000

2500

1.01 1.1 1.5 2.33 5 10 25 50 100 200 5001000

La Joya Normal Pearson Gumbel

Período de retorno (Años)

Ca

ud

al (

m3

/s)

*Papel probabilístico de distribución Normal

100

1000

10000

1.01 1.1 1.5 2.335 10 25 50 100 200 500 1000

La Joya Log Normal Log Pearson Log Gumbel

Período de retorno (Años)

Ca

ud

al (

m3

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*Papel probabilístico de distribución Log Normal

0

500

1000

1500

2000

2500

3000

3500

4000

1.0

1

1.1

1.5

2.3

3 5 10

25

50

10

0

20

0

50

0

10

00

La Joya Log Pearson

Período de retorno (Años)

Ca

ud

al (

m3

/s)

*Papel probabilístico de distribución Normal