YARABAMBAAjuste a distribucion Normal

N° INTERVALO DE CLASE OBSERVADO (O)1 9.25 02 9.25 15.41 43 15.41 19.39 44 19.39 23.47 45 23.47 27.32 46 27.32 40.19 47 40.19 67.84 58 67.84 0

No se acepta

Ajuste a distribucion GumbelN° INTERVALO DE CLASE OBSERVADO (O)1 9.25 02 9.25 15.41 43 15.41 19.39 44 19.39 23.47 45 23.47 27.32 46 27.32 40.19 47 40.19 67.84 58 67.84 0

No se acepta

Ajuste a distribucion Gamma IIN° INTERVALO DE CLASE OBSERVADO (O)1 9.25 02 9.25 15.41 43 15.41 19.39 44 19.39 23.47 45 23.47 27.32 46 27.32 40.19 47 40.19 67.84 58 67.84 0

Se acepta

Ajuste a distribucion Log Pearson IIIN° INTERVALO DE CLASE OBSERVADO (O)1 9.25 02 9.25 15.41 43 15.41 19.39 44 19.39 23.47 45 23.47 27.32 46 27.32 40.19 4

7 40.19 67.84 58 67.84 0

No se acepta

Ajuste a distribucion GAMMA IIIN° INTERVALO DE CLASE OBSERVADO (O)1 9.25 02 9.25 15.41 43 15.41 19.39 44 19.39 23.47 45 23.47 27.32 46 27.32 40.19 47 40.19 67.84 58 67.84 0

No se acepta

Normal 9.694 7.815 Se RechazaGumbel 8.833 7.815 Se Rechaza

Gamma II 3.536 7.815 Ajuste AdecuadoLog Pearson III 6.063 5.99 Se Rechaza

Gamma III 2.29 5.99 Ajuste Adecuado

��^2 ��^2

YARABAMBAAjuste a distribucion Normal

ESPERADO (E) O-E (O-E)^2 (O-E)^2/E2 -2 4 2.02 2 4 2.02 2 4 2.03 1 1 0.33 1 1 0.39 -5 25 2.84 1 1 0.30 0 0 0.0

9.697.815

Ajuste a distribucion GumbelESPERADO (E) O-E (O-E)^2 (O-E)^2/E

3 -3 9 3.04 0 0 0.04 0 0 0.03 1 1 0.33 1 1 0.36 -2 4 0.72 3 9 4.50 0 0 0.0

8.87.815

Ajuste a distribucion Gamma IIESPERADO (E) O-E (O-E)^2 (O-E)^2/E

1 -1 1 1.04 0 0 0.03 1 1 0.33 1 1 0.33 1 1 0.37 -3 9 1.34 1 1 0.30 0 0 0.0

3.57.815

Ajuste a distribucion Log Pearson IIIESPERADO (E) O-E (O-E)^2 (O-E)^2/E

0 0 0 0.000 4 16 0.000 4 16 0.009 -5 25 2.787 -3 9 1.296 -2 4 0.67

��^2

��^2

��^2

��^2

��^2

��^2

3 2 4 1.330 0 0 0.00

6.065.99

Ajuste a distribucion GAMMA IIIESPERADO (E) O-E (O-E)^2 (O-E)^2/E

0 0 0 0.003 1 1 0.333 1 1 0.333 1 1 0.334 0 0 0.007 -3 9 1.295 0 0 0.000 0 0 0.00

2.295.99

Log Pearson III

��^2��^2

��^2

��^2��^2 ��^2

MOLLEBAYAAjuste a distribucion Normal

N° INTERVALO DE CLASE OBSERVADO (O) ESPERADO (E) 1 9.12 0 22 9.12 12.19 4 23 12.19 18.25 4 34 18.25 22.45 4 35 22.45 24.99 4 36 24.99 33.55 4 67 33.55 60.04 5 68 60.04 0 0

Se acepta

Ajuste a distribucion GumbelN° INTERVALO DE CLASE OBSERVADO (O) ESPERADO (E) 1 9.12 0 32 9.12 12.19 4 23 12.19 18.25 4 54 18.25 22.45 4 45 22.45 24.99 4 26 24.99 33.55 4 47 33.55 60.04 5 58 60.04 0 0

Se acepta

Ajuste a distribucion Gamma IIN° INTERVALO DE CLASE OBSERVADO (O) ESPERADO (E) 1 9.12 0 12 9.12 12.19 4 23 12.19 18.25 4 54 18.25 22.45 4 45 22.45 24.99 4 26 24.99 33.55 4 57 33.55 60.04 5 68 60.04 0 0

Se acepta

Ajuste a distribucion Log Pearson IIIN° INTERVALO DE CLASE OBSERVADO (O) ESPERADO (E) 1 9.12 0 02 9.12 12.19 4 03 12.19 18.25 4 04 18.25 22.45 4 135 22.45 24.99 4 46 24.99 33.55 4 3

��^2

��^2

��^2

��^2

��^2

��^2

7 33.55 60.04 5 58 60.04 0 0

No se acepta

Ajuste a distribucion GAMMA IIIN° INTERVALO DE CLASE OBSERVADO (O) ESPERADO (E) 1 9.12 0 12 9.12 12.19 4 23 12.19 18.25 4 54 18.25 22.45 4 35 22.45 24.99 4 26 24.99 33.55 4 67 33.55 60.04 5 68 60.04 0 0

No se acepta

Normal 5.833 7.815 Ajuste AdecuadoGumbel 7.200 7.815 Ajuste Adecuado

Gamma II 5.567 7.815 Ajuste AdecuadoLog Pearson III 6.564 5.99 Se Rechaza

Gamma III 5.367 5.99 Ajuste Adecuado

��^2

��^2

��^2

��^2

��^2

Ajuste a distribucion NormalO-E (O-E)^2 (O-E)^2/E-2 4 2.002 4 2.001 1 0.331 1 0.331 1 0.33-2 4 0.67-1 1 0.170 0 0.00

5.837.815

Ajuste a distribucion GumbelO-E (O-E)^2 (O-E)^2/E-3 9 3.02 4 2.0-1 1 0.20 0 0.02 4 2.00 0 0.00 0 0.00 0 0.0

7.27.815

Ajuste a distribucion Gamma IIO-E (O-E)^2 (O-E)^2/E1 1 1.02 4 2.0-1 1 0.20 0 0.02 4 2.0-1 1 0.2-1 1 0.20 0 0.0

5.67.815

Ajuste a distribucion Log Pearson IIIO-E (O-E)^2 (O-E)^2/E0 0 0.004 16 0.004 16 0.00-9 81 6.230 0 0.001 1 0.33

0 0 0.000 0 0.00

6.565.99

Ajuste a distribucion GAMMA IIIO-E (O-E)^2 (O-E)^2/E-1 1 0.002 4 2.00-1 1 0.201 1 0.332 4 2.00-2 4 0.67-1 1 0.170 0 0.00

5.375.99

MICROCUENCA YARABAMBA

nNORMAL

Pe1 0.038 26.00 67.84 52.312 0.077 13.00 48.78 47.593 0.115 8.67 47.43 44.464 0.154 6.50 45.04 42.005 0.192 5.20 41.35 39.926 0.231 4.33 40.19 38.097 0.269 3.71 32.89 36.428 0.308 3.25 31.28 34.879 0.346 2.89 30.13 33.41

10 0.385 2.60 27.32 31.9911 0.423 2.36 25.65 30.6212 0.462 2.17 25.64 29.2913 0.500 2.00 23.80 27.9614 0.538 1.86 23.47 26.6415 0.577 1.73 21.79 25.3016 0.615 1.63 21.02 23.9417 0.654 1.53 20.80 22.5218 0.692 1.44 19.39 21.0619 0.731 1.37 18.24 19.5120 0.769 1.30 17.22 17.8321 0.808 1.24 16.57 16.0022 0.846 1.18 15.41 13.9323 0.885 1.13 14.37 11.4724 0.923 1.08 14.14 8.3425 0.962 1.04 9.25 3.61

C

Weibullm/(n+1)

TAños

P(mm)Po

MICROCUENCA YARABAMBA

NORMAL GUMBEL GAMMA II PLOG PEARSON TIPO III

(Pe-Po)^2 Pe (Pe-Po)^2 Pe (Pe-Po)^2 Pe241.28 51.98 251.57 55.17 160.61 58.694

1.42 44.33 19.81 48.09 0.47 48.3288.84 39.75 58.97 43.69 14.00 43.5169.24 36.43 74.02 40.44 21.14 39.5892.05 33.80 57.11 37.86 12.18 37.4524.40 31.59 73.95 35.63 20.79 33.949

12.43 29.67 10.37 33.66 0.60 31.25012.88 27.97 10.96 31.94 0.44 29.38810.72 26.42 13.82 30.35 0.05 28.00721.78 24.98 5.47 28.86 2.35 26.94424.72 23.64 4.03 27.47 3.29 26.10613.29 22.38 10.66 26.15 0.25 25.42817.30 21.16 6.97 24.86 1.12 24.86810.03 19.99 12.11 23.64 0.03 24.39812.32 18.85 8.67 22.45 0.44 23.9988.51 17.72 10.89 21.27 0.06 23.6532.95 16.60 17.67 20.12 0.46 23.3532.79 15.47 15.39 18.97 0.18 23.0891.61 14.31 15.39 17.78 0.21 22.8560.37 13.12 16.81 16.56 0.44 22.6480.33 11.87 22.17 15.31 1.60 22.4612.19 10.50 24.07 13.95 2.12 22.2938.41 8.97 29.14 12.46 3.63 22.140

33.70 7.12 49.27 10.74 11.60 22.00131.80 4.56 22.06 8.47 0.62 21.874

495.37 841.37 258.6622.26 29.01 16.08

MICROCUENCA MOLLEBAYA

LOG PEARSON TIPO III GAMMA IIIP n(Pe-Po)^2 Pe (Pe-Po)^2

83.717 60.939 47.670 10.203 53.181 19.381 2

15.327 48.568 1.294 329.673 44.585 0.204 415.222 45.801 19.779 538.919 39.091 1.202 62.693 37.037 17.182 73.566 35.150 15.003 84.516 33.262 9.798 90.143 31.921 21.146 100.206 30.201 20.693 110.046 28.943 10.903 121.135 27.182 11.420 130.860 26.343 8.253 144.874 25.337 12.581 156.937 24.037 9.109 166.521 22.653 3.438 17

13.686 21.311 3.693 1821.322 20.137 3.606 1929.425 18.879 2.742 2034.669 17.747 1.378 2147.387 16.489 1.166 2260.418 15.021 0.427 2361.774 13.470 0.452 24

159.305 11.247 3.977 25642.54 246.5025.35 15.70

MICROCUENCA MOLLEBAYA

NORMAL GUMBEL

Pe (Pe-Po)^2 Pe0.038 26.00 60.04 47.27 162.96 51.980.077 13.00 49.12 42.94 38.22 44.330.115 8.67 43.98 40.06 15.34 39.750.154 6.50 38.41 37.80 0.37 36.430.192 5.20 34.52 35.90 1.90 33.800.231 4.33 33.55 34.22 0.44 31.590.269 3.71 30.66 32.68 4.08 29.670.308 3.25 26.16 31.26 25.97 27.970.346 2.89 25.70 29.92 17.78 26.420.385 2.60 24.99 28.61 13.14 24.980.423 2.36 23.38 27.36 15.85 23.640.462 2.17 22.54 26.13 12.91 22.380.500 2.00 22.46 24.92 6.04 21.160.538 1.86 22.45 23.70 1.56 19.990.577 1.73 20.17 22.47 5.30 18.850.615 1.63 19.48 21.22 3.03 17.720.654 1.53 18.77 19.92 1.32 16.600.692 1.44 18.25 18.58 0.11 15.470.731 1.37 17.57 17.15 0.17 14.310.769 1.30 15.13 15.62 0.24 13.120.808 1.24 12.66 13.94 1.63 11.870.846 1.18 12.19 12.03 0.03 10.500.885 1.13 11.45 9.77 2.82 8.970.923 1.08 10.15 6.90 10.59 7.120.962 1.04 9.12 2.56 43.04 4.56

384.82C 19.62

Weibullm/(n+1)

TAños

P(mm)Po

MICROCUENCA MOLLEBAYA

GUMBEL GAMMA II PLOG PEARSON TIPO III GAMMA IIIP

(Pe-Po)^2 Pe (Pe-Po)^2 Pe (Pe-Po)^2 Pe64.93 52.20 61.43 53.29 45.55 53.7622.97 45.50 13.07 43.78 28.49 46.8217.88 41.34 6.98 39.34 21.56 42.503.91 38.26 0.02 35.71 7.31 38.930.52 35.83 1.71 33.72 0.64 36.233.85 33.71 0.03 30.47 9.50 34.050.98 31.85 1.42 27.96 7.31 32.183.26 30.22 16.48 26.21 0.00 30.490.51 28.71 9.08 24.93 0.60 28.800.00 27.30 5.35 23.94 1.09 27.670.07 25.99 6.81 23.17 0.04 26.170.03 24.74 4.84 22.54 0.00 25.041.68 23.52 1.13 22.03 0.19 23.546.05 22.37 0.01 21.59 0.73 22.681.75 21.25 1.16 21.23 1.12 21.673.10 20.12 0.42 20.91 2.04 20.544.73 19.04 0.07 20.63 3.47 19.307.75 17.95 0.09 20.39 4.58 18.10

10.60 16.82 0.56 20.18 6.79 17.164.03 15.67 0.29 19.99 23.57 16.040.63 14.48 3.33 19.81 51.18 14.912.85 13.20 1.03 19.66 55.80 13.786.16 11.79 0.12 19.52 65.12 12.139.17 10.16 0.00 19.39 85.42 11.16

20.83 8.01 1.23 19.28 103.14 9.24198.23 136.62 525.2514.08 11.69 22.92

GAMMA IIIP(Pe-Po)^2

39.425.302.190.272.930.252.3018.739.607.207.796.271.170.052.241.120.280.020.170.825.062.540.461.010.01

117.2310.83

nnormal

Pe Z F(Z)1 0.038 3.61 -1.952 0.025 0.013262 0.077 8.34 -1.574 0.058 0.018623 0.115 11.47 -1.323 0.094 0.021884 0.154 13.93 -1.125 0.132 0.021855 0.192 16.00 -0.959 0.169 0.023716 0.231 17.83 -0.812 0.209 0.021777 0.269 19.51 -0.678 0.250 0.019238 0.308 21.06 -0.554 0.292 0.015699 0.346 22.52 -0.437 0.334 0.01215

10 0.385 23.94 -0.323 0.375 0.0101211 0.423 25.30 -0.213 0.417 0.0061812 0.462 26.64 -0.106 0.460 0.0013413 0.500 27.96 0.000 0.500 0.0000014 0.538 29.29 0.106 0.540 0.0015415 0.577 30.62 0.213 0.583 0.0062516 0.615 31.99 0.323 0.626 0.0101217 0.654 33.41 0.437 0.666 0.0125518 0.692 34.87 0.554 0.709 0.0164919 0.731 36.42 0.678 0.745 0.0145320 0.769 38.09 0.812 0.791 0.0217721 0.808 39.92 0.959 0.831 0.0237122 0.846 42.00 1.125 0.869 0.0224523 0.885 44.46 1.323 0.907 0.0218824 0.923 47.59 1.574 0.942 0.0186225 0.962 52.31 1.952 0.974 0.01286

Weibullm/(n+1) Δ

F(Z)-P(X)

Ecuacion (1)

media 26.00

13.00

varianza 8.67

6.50

Sesgo 5.20

4.33

3.71

PARAMETROS 3.25.S/2 2.89

2.602.362.172.001.861.731.631.531.441.371.301.241.181.131.081.04

Ecuacion general

MOLLEBAYA

x-xprom (x-xprom)^2 (x-xprom)^3

0.03846 1 60.04 35.12 1233.695 43332.316

0.07692 2 49.12 24.20 585.834 14179.517

0.11538 3 43.98 19.06 363.436 6928.546

0.15385 4 38.41 13.49 182.088 2457.096

0.19231 5 34.52 9.60 92.237 885.842

0.23077 6 33.55 8.63 74.546 643.630

0.26923 7 30.66 5.74 32.994 189.515

0.30769 8 26.16 1.24 1.548 1.9250.34615 9 25.70 0.78 0.615 0.482

0.38462 10 24.99 0.07 0.005 0.0000.42308 11 23.38 -1.54 2.359 -3.6240.46154 12 22.54 -2.38 5.645 -13.4130.50000 13 22.46 -2.46 6.032 -14.8140.53846 14 22.45 -2.47 6.081 -14.9960.57692 15 20.17 -4.75 22.525 -106.9010.61538 16 19.48 -5.44 29.550 -160.6340.65385 17 18.77 -6.15 37.773 -232.1550.69231 18 18.25 -6.67 44.436 -296.2070.73077 19 17.57 -7.35 53.964 -396.4170.76923 20 15.13 -9.79 95.766 -937.1640.80769 21 12.66 -12.26 150.210 -1840.9680.84615 22 12.19 -12.73 161.951 -2060.9890.88462 23 11.45 -13.47 181.333 -2441.8320.92308 24 10.15 -14.77 218.035 -3219.5010.96154 25 9.12 -15.80 249.514 -3941.317

24.916 3832.170 52937.934

M3 2117.517xprom 24.916S 12.636Cs 1.1882768388

2.8329

7.508

P(mm)Po

xo 3.6485.666

Po

13.35 53.761

11.5 46.817

10.35 42.500

9.4 38.934

8.68 36.231

8.1 34.054

7.6 32.177

7.15 30.4886.7 28.799

6.4 27.6726 26.171

5.7 25.0455.3 23.543

5.07 22.6804.8 21.6664.5 20.540

4.17 19.3013.85 18.100

3.6 17.1623.3 16.036

3 14.9092.7 13.783

2.26 12.1322 11.156

1.49 9.241

Ecuacion (1)

media 26.00

13.00

varianza 8.67

6.50

Sesgo 5.20

4.33

3.71

PARAMETROS 3.25.S/2 2.89

2.602.362.172.001.861.731.631.531.441.371.301.241.181.131.081.04

Ecuacion general

YARABAMBA

x-xprom (x-xprom)^2 (x-xprom)^3

0.03846 1 67.84 39.88 1590.608 63437.315

0.07692 2 48.78 20.82 433.384 9022.121

0.11538 3 47.43 19.47 379.081 7380.716

0.15385 4 45.04 17.08 291.556 4978.335

0.19231 5 41.35 13.39 179.358 2402.051

0.23077 6 40.19 12.23 149.496 1827.860

0.26923 7 32.89 4.93 24.310 119.863

0.30769 8 31.28 3.32 10.991 36.4390.34615 9 30.13 2.17 4.715 10.239

0.38462 10 27.32 -0.64 0.408 -0.2610.42308 11 25.65 -2.31 5.330 -12.3040.46154 12 25.64 -2.32 5.380 -12.4800.50000 13 23.80 -4.16 17.291 -71.8970.53846 14 23.47 -4.49 20.162 -90.5340.57692 15 21.79 -6.17 38.081 -234.9930.61538 16 21.02 -6.94 48.191 -334.5420.65385 17 20.80 -7.16 51.292 -367.3440.69231 18 19.39 -8.57 73.468 -629.7180.73077 19 18.24 -9.72 94.532 -919.1130.76923 20 17.22 -10.74 115.297 -1238.0230.80769 21 16.57 -11.39 129.680 -1476.7660.84615 22 15.41 -12.55 157.548 -1977.5180.88462 23 14.37 -13.59 184.781 -2511.8080.92308 24 14.14 -13.82 190.965 -2638.9520.96154 25 9.25 -18.71 349.990 -6547.628

27.961 4545.897 70151.058

M3 2806.042xprom 27.961S 13.763Cs 1.2187724489

2.6929

8.3868100877

P(mm)Po

xo 5.3763269275.3857319011

Po

13.25 60.939

11.4 53.181

10.3 48.568

9.35 44.585

9.64 45.801

8.04 39.091

7.55 37.037

7.1 35.1506.65 33.262

6.33 31.9215.92 30.2015.62 28.943

5.2 27.1825 26.343

4.76 25.3374.45 24.0374.12 22.653

3.8 21.3113.52 20.1373.22 18.8792.95 17.7472.65 16.489

2.3 15.0211.93 13.470

1.4 11.247