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# TODO: Add comment
#
# Author: ecor
###############################################################################
### http://cran.r-project.org/web/views/Distributions.html
rm(list=ls())
library(MASS)
library(RMAWGEN)
library(RMRAINGEN)
##library(RHEG)
#library(fitdistrplus)
#source('~/Dropbox/iasma/RMAWGENdev/RHEG/R/HEG.R', chdir = TRUE)
### additional function
## fitting with a parametric probability distribution
data(trentino)
year_min <- 1961
year_max <- 1990
period <- PRECIPITATION$year>=year_min & PRECIPITATION$year<=year_max
season <- PRECIPITATION$month %in% 10 ##c(3,4,5) ## SPRING!
station <- names(PRECIPITATION)[!(names(PRECIPITATION) %in% c("day","month","year"))]
prec_mes <- PRECIPITATION[period,station]
season <- season[period]
## removing nonworking stations (e.g. time series with NA)
accepted <- array(TRUE,length(names(prec_mes)))
names(accepted) <- names(prec_mes)
for (it in names(prec_mes)) {
accepted[it] <- (length(which(!is.na(prec_mes[,it])))==length(prec_mes[,it]))
}
prec_mes <- prec_mes[season,accepted]
stations <- names(prec_mes)
season <- PRECIPITATION$month %in% c(9,10,11) ## autumnSPRING!
## List of probability distributions to test for precipitation.
distributions <- list(exp=dexp,gamma=dgamma,weibull=dweibull) ###,heg=dheg)
##distributions <- list(exp=dexp) ##,gpd=dgpd,heg=dheg)
## Initialization Value For each tested probability distribution
distributionPar <- lapply(X=names(distributions),FUN=function(x) {
dfun <- get(paste("d",x,sep=""))
out <- formals(dfun)
out <- out[!(names(out) %in% c("x","log"))]
for (f in 1:length(out)) {
if (class(out[[f]])!="numeric") out[[f]] <- 1
}
out$densfun <- dfun
out$namefun <- x
return(out)
})
names(distributionPar) <- names(distributions)
## Specific correction on density function arguments
distributionPar$gamma <- distributionPar$gamma[names(distributionPar$gamma)!="scale"]
distributionParForEachStation <- list()
distributionGofForEachStation <- list()
for (it in stations) {
data <- prec_mes[,it]
data <- data[data>0]
## fitting parameters
distributionParForEachStation[[it]] <- lapply(X=distributionPar,FUN=function(x,data,signif=0.05){
out <- list()
start <- x[!(names(x) %in% c("densfun","namefun"))]
pnamefun <- paste("p",x$namefun,sep="")
print(pnamefun)
out$fit <- fitdistr(data,x$densfun,start=start) ##,method="mle") ###,method="CG") ###,fix.arg=args.fix)
out$gof <- gof.test.mod(x=data,y=pnamefun,par=out$fit$estimate,what="ks.test")
return(out)
},data=data)
}
getPvalues <- function(dParfst=distributionParForEachStation,
station=names(dParfst),namefun=names(dParfst[[1]])) {
if ((length(station)==1) & (length(namefun)==1)) {
out <- as.numeric(dParfst[[station]][[namefun]]$gof$p.value)
names(out) <- paste(station,namefun,sep="_")
} else if (length(station)>1) {
out <- getPvalues(dParfst,station[1],namefun)
for (it in station[-1]) {
temp <- getPvalues(dParfst,it,namefun)
out <- c(out,temp)
}
} else if (length(namefun)>1) {
out <- getPvalues(dParfst,station,namefun[1])
for (it in namefun[-1]) {
temp <- getPvalues(dParfst,station,it)
out <- c(out,temp)
}
}
return(out)
}
##stop("stop here")
#
#prec_exp <- prec_mes
#prec_gamma <- prec_mes
#prec_weibull <- prec_mes
#
#
#list_exp <- list() ## dexp
#list_gamma <- list() ## dgamma
#list_weibull <- list() ## dweibull
#
#for (it in names(prec_mes)) {
#
# x <- prec_mes[,it]
# x <- x[x>0]
# start <- list(shape=1,scale=1,rate=1,beta=1,xi=1)
#
# if (length(x)>0) {
# list_exp[[it]] <- list()
# list_gamma[[it]] <- list()
# list_weibull[[it]] <- list()
# list_gpd <- list()
# list_heg[[it]] <- list()
#
#
# list_exp[[it]]$par <- fitdistr(x,dexp,start=start[names(start) %in% names(formals(dexp))])
# list_gamma[[it]]$par <- fitdistr(x,dgamma,start=start[names(start) %in% names(formals(dgamma))][1:2])
# list_weibull[[it]]$par <- fitdistr(x,dweibull,start=start[names(start) %in% names(formals(dweibull))])
# list_weibull[[it]]$par <- fitdistr(x,dweibull,start=start[names(start) %in% names(formals(dweibull))])
#
# # Kolgomorov-Smirnov tests
#
# list_exp[[it]]$htest <- gof.test.mod(x=x,y="pexp",par=list_exp[[it]]$par$estimate)
# list_gamma[[it]]$htest <- gof.test.mod(x=x,y="pgamma",par=list_gamma[[it]]$par$estimate)
# list_weibull[[it]]$htest <- gof.test.mod(x=x,y="pweibull",par=list_weibull[[it]]$par$estimate)
#
# ### Theoretical Quantile Precipitation
#
# prec_exp[,it][prec_mes[,it]>0] <- qqfit(prec_mes[,it][prec_mes[,it]>0],FUN=qexp,par=list_exp[[it]]$par$estimate)
# prec_gamma[,it][prec_mes[,it]>0] <- qqfit(prec_mes[,it][prec_mes[,it]>0],FUN=qgamma,par=list_gamma[[it]]$par$estimate)
# prec_weibull[,it][prec_mes[,it]>0] <- qqfit(prec_mes[,it][prec_mes[,it]>0],FUN=qweibull,par=list_weibull[[it]]$par$estimate)
#
# x <- prec_exp[,it][prec_mes[,it]>0]
# list_exp[[it]]$htest0 <- gof.test.mod(x=x,y="pexp",par=list_exp[[it]]$par$estimate)
# x <- prec_gamma[,it][prec_mes[,it]>0]
# list_gamma[[it]]$htest0 <- gof.test.mod(x=x,y="pgamma",par=list_gamma[[it]]$par$estimate)
# x <- prec_weibull[,it][prec_mes[,it]>0]
# list_weibull[[it]]$htest0 <- gof.test.mod(x=x,y="pweibull",par=list_weibull[[it]]$par$estimate)
#
# } else {
#
# list_exp[it] <- NULL
# list_gamma[it] <- NULL
# list_weibull[it] <- NULL
#
# }
#
#
#
#
#
#}
#
### resume p-Values
#
#pvalues_exp <- unlist(lapply(X=list_exp,FUN=function(x) {x$htest$p.value}))
#pvalues_gamma <- unlist(lapply(X=list_gamma,FUN=function(x) {x$htest$p.value}))
#pvalues_weibull <- unlist(lapply(X=list_weibull,FUN=function(x) {x$htest$p.value}))
#
#pvalues0_exp <- unlist(lapply(X=list_exp,FUN=function(x) {x$htest0$p.value}))
#pvalues0_gamma <- unlist(lapply(X=list_gamma,FUN=function(x) {x$htest0$p.value}))
#pvalues0_weibull <- unlist(lapply(X=list_weibull,FUN=function(x) {x$htest0$p.value}))
#
#
#
### scratch
#
## val <- prec_mes[,it]
## probs <- pexp(val,rate=list_exp[[it]]["rate"])
## val[prec_mes[,it]>0] <- quantile(val[prec_mes[,it]>0],probs=probs[prec_mes[,it]>0])
## prec_exp[,it] <- val
## val <- prec_mes[,it]
## pval <- ecdf(val[prec_mes[,it]>0])(val[prec_mes[,it]>0])
## qval <- qexp(pval,rate=list_exp[[it]]["rate"])
## val[prec_mes[,it]>0] <- qval
## prec_exp[,it] <- val
#
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