I. ANALISIS DE CONFIABILIDAD ESTACION PORCULLA DE PRECIPITACION MAXIMA ANUAL DISTRIBUCION NORMAL DE 2 PARAMETROS

CALCULOS PREVIOS

X=

∑x=1

N

X i

N = 18.95 mm

S=√∑x=1

N

(X i−X)2

N−1

= 32.78

C v=SX

=1.7296

Varianza

σ y2=ln (1+C v

2) =1.1765

Media

uy=12∗ln ( X2

1+C v2 )= 2.2499

z=lnx−u yσ y

AÑO m

Pmax

anual

(mm)

Pmax

anual

(mm)

P(x)=m/N+1 ( x-x )2 y z F(z) |F(z)-P(x)|

1998 1 116.0 0.05556 9418.13163 4.75359 2.12810 0.98334 0.927781999 2 32.0 0.11111 170.22574 3.46574 1.03345 0.84930 0.738192000 3 6.0 0.16667 167.77869 1.79176 -0.38940 0.34849 0.181822001 4 40.8 0.22222 477.29398 3.70868 1.23995 0.89250 0.670282002 5 15.2 0.27778 14.08457 2.72130 0.40069 0.65568 0.377902003 6 14.7 0.33333 18.08751 2.68785 0.37226 0.64515 0.311822004 7 3.6 0.38889 235.71280 1.28093 -0.82359 0.20509 0.183802005 8 3.9 0.44444 226.59104 1.36098 -0.75556 0.22496 0.219492006 9 9.1 0.50000 97.08045 2.20827 -0.03537 0.48589 0.014112007 10 2.4 0.55556 273.99986 0.87547 -1.16823 0.12136 0.434202008 11 11.7 0.61111 52.60516 2.45959 0.17824 0.57073 0.040382009 12 5.7 0.66667 175.64045 1.74047 -0.43300 0.33251 0.334162010 13 19.7 0.72222 0.55810 2.98062 0.62111 0.73274 0.010512011 14 7.1 0.77778 140.49221 1.96009 -0.24632 0.40272 0.37506

2012 15 22.1 0.83333 9.90398 3.09558 0.71882 0.76387 0.069462013 16 8.5 0.88889 109.26398 2.14007 -0.09335 0.46281 0.426072014 17 3.7 0.94444 232.65221 1.30833 -0.80030 0.21177 0.73268

SUMA 322.2 11820.10235

II. ANALISIS DE CONFIABILIDAD ESTACION PORCULLA DE PRECIPITACION MAXIMA ANUAL DISTRIBUCION GUMBEL

CALCULOS PREVIOS

X=

∑x=1

N

X i

N = 13.72

S=√∑x=1

N

(X i−X)2

N−1

= 30.77

u=X−0.45∗S =-0.1208

α=√6π

*S =23.9969

F ( y )=e−e− y