[Robast-commits] r717 - branches/robast-1.0/pkg/RobExtremes/R
noreply at r-forge.r-project.org
noreply at r-forge.r-project.org
Mon Sep 23 10:38:46 CEST 2013
Author: ruckdeschel
Date: 2013-09-23 10:38:46 +0200 (Mon, 23 Sep 2013)
New Revision: 717
Removed:
branches/robast-1.0/pkg/RobExtremes/R/GEVFamily.R.bak
Log:
RobExtremes: deleted some .bak file from R folder
Deleted: branches/robast-1.0/pkg/RobExtremes/R/GEVFamily.R.bak
===================================================================
--- branches/robast-1.0/pkg/RobExtremes/R/GEVFamily.R.bak 2013-09-23 08:28:59 UTC (rev 716)
+++ branches/robast-1.0/pkg/RobExtremes/R/GEVFamily.R.bak 2013-09-23 08:38:46 UTC (rev 717)
@@ -1,412 +0,0 @@
-#################################
-##
-## Class: GEVFamily for positive shape
-##
-################################
-
-### some reusable blocks of code (to avoid redundancy):
-
-.warningGEVShapeLarge <- function(xi){
- if(xi>=4.5)
- warning("A shape estimate larger than 4.5 was produced.\n",
- "Shape parameter values larger than 4.5 are critical\n",
- "in the GEV family as to numerical issues. Be careful with \n",
- "ALE results obtained here; they might be unreliable.")
- }
-
-### pretreatment of of.interest
-.pretreat.of.interest <- function(of.interest,trafo){
- if(is.null(trafo)){
- of.interest <- unique(of.interest)
- if(length(of.interest) > 2)
- stop("A maximum number of two parameters resp. parameter transformations may be selected.")
- if(!all(of.interest %in% c("scale", "shape", "quantile", "expected loss", "expected shortfall")))
- stop("Parameters resp. transformations of interest have to be selected from: ",
- "'scale', 'shape', 'quantile', 'expected loss', 'expected shortfall'.")
-
- ## reordering of of.interest
- if(("scale" %in% of.interest) && ("scale" != of.interest[1])){
- of.interest[2] <- of.interest[1]
- of.interest[1] <- "scale"
- }
- if(!("scale" %in% of.interest) && ("shape" %in% of.interest) && ("shape" != of.interest[1])){
- of.interest[2] <- of.interest[1]
- of.interest[1] <- "shape"
- }
- if(!any(c("scale", "shape") %in% of.interest) && ("quantile" %in% of.interest)
- && ("quantile" != of.interest[1])){
- of.interest[2] <- of.interest[1]
- of.interest[1] <- "quantile"
- }
- if(!any(c("scale", "shape", "quantile") %in% of.interest)
- && ("expected shortfall" %in% of.interest)
- && ("expected shortfall" != of.interest[1])){
- of.interest[2] <- of.interest[1]
- of.interest[1] <- "expected shortfall"
- }
- }
- return(of.interest)
-}
-
-.define.tau.Dtau <- function(of.interest, btq, bDq, btes,
- bDes, btel, bDel, p, N){
- tau <- NULL
- if("scale" %in% of.interest){
- tau <- function(theta){ th <- theta[1]; names(th) <- "scale"; th}
- Dtau <- function(theta){ D <- t(c(1, 0)); rownames(D) <- "scale"; D}
- }
- if("shape" %in% of.interest){
- if(is.null(tau)){
- tau <- function(theta){th <- theta[2]; names(th) <- "shape"; th}
- Dtau <- function(theta){D <- t(c(0,1));rownames(D) <- "shape";D}
- }else{
- tau <- function(theta){th <- theta
- names(th) <- c("scale", "shape"); th}
- Dtau <- function(theta){ D <- diag(2);
- rownames(D) <- c("scale", "shape");D}
- }
- }
- if("quantile" %in% of.interest){
- if(is.null(p)) stop("Probability 'p' has to be specified.")
- if(is.null(tau)){
- tau <- function(theta){ }; body(tau) <- btq
- Dtau <- function(theta){ };body(Dtau) <- bDq
- }else{
- tau1 <- tau
- tau <- function(theta){ }
- body(tau) <- substitute({ btq0; c(tau0(theta), q) },
- list(btq0=btq, tau0 = tau1))
- Dtau1 <- Dtau
- Dtau <- function(theta){}
- body(Dtau) <- substitute({ bDq0; rbind(Dtau0(theta), D) },
- list(Dtau0 = Dtau1, bDq0 = bDq))
- }
- }
- if("expected shortfall" %in% of.interest){
- if(is.null(p)) stop("Probability 'p' has to be specified.")
- if(is.null(tau)){
- tau <- function(theta){ }; body(tau) <- btes
- Dtau <- function(theta){ }; body(Dtau) <- bDes
- }else{
- tau1 <- tau
- tau <- function(theta){ }
- body(tau) <- substitute({ btes0; c(tau0(theta), es) },
- list(tau0 = tau1, btes0=btes))
- Dtau1 <- Dtau
- Dtau <- function(theta){}
- body(Dtau) <- substitute({ bDes0; rbind(Dtau0(theta), D) },
- list(Dtau0 = Dtau1, bDes0=bDes))
- }
- }
- if("expected loss" %in% of.interest){
- if(is.null(N)) stop("Expected frequency 'N' has to be specified.")
- if(is.null(tau)){
- tau <- function(theta){ }; body(tau) <- btel
- Dtau <- function(theta){ }; body(Dtau) <- bDel
- }else{
- tau1 <- tau
- tau <- function(theta){ }
- body(tau) <- substitute({ btel0; c(tau0(theta), el) },
- list(tau0 = tau1, btel0=btel))
- Dtau1 <- Dtau
- Dtau <- function(theta){}
- body(Dtau) <- substitute({ bDel0; rbind(Dtau0(theta), D) },
- list(Dtau0 = Dtau1, bDel0=bDel))
- }
- }
- trafo <- function(x){ list(fval = tau(x), mat = Dtau(x)) }
- return(trafo)
-}
-
-## methods
-setMethod("validParameter",signature(object="GEVFamily"),
- function(object, param, tol =.Machine$double.eps){
- if (is(param, "ParamFamParameter"))
- param <- main(param)
- if (!all(is.finite(param)))
- return(FALSE)
- if (any(param[1] <= tol))
- return(FALSE)
- if (any(param[2] <= tol))
- return(FALSE)
- return(TRUE)
- })
-
-
-## generating function
-## loc: known/fixed threshold/location parameter
-## scale: scale parameter
-## shape: shape parameter
-## trafo: optional parameter transformation
-## start0Est: startEstimator for MLE and MDE --- if NULL HybridEstimator is used;
-
-GEVFamily <- function(loc = 0, scale = 1, shape = 0.5,
- of.interest = c("scale", "shape"),
- p = NULL, N = NULL, trafo = NULL,
- start0Est = NULL, withPos = TRUE,
- withCentL2 = FALSE,
- withL2derivDistr = FALSE,
- ..ignoreTrafo = FALSE){
- theta <- c(loc, scale, shape)
- .warningGEVShapeLarge(shape)
-
- of.interest <- .pretreat.of.interest(of.interest,trafo)
-
- ##symmetry
- distrSymm <- NoSymmetry()
-
- ## parameters
- names(theta) <- c("loc", "scale", "shape")
- scaleshapename <- c("scale"="scale", "shape"="shape")
-
-
- btq <- bDq <- btes <- bDes <- btel <- bDel <- NULL
- if(!is.null(p)){
- btq <- substitute({ q <- loc0 + theta[1]*((-log(p0))^(-theta[2])-1)/theta[2]
- names(q) <- "quantile"
- q
- }, list(loc0 = loc, p0 = p))
-
- bDq <- substitute({ scale <- theta[1]; shape <- theta[2]
- D1 <- ((-log(p0))^(-shape)-1)/shape
- D2 <- -scale/shape*(D1 + log(-log(p0))*(-log(p0))^(-shape))
- D <- t(c(D1, D2))
- rownames(D) <- "quantile"; colnames(D) <- NULL
- D }, list(p0 = p))
- btes <- substitute({ if(theta[2]>=1L) es <- NA else {
- pg <- pgamma(-log(p0),1-theta[2], lower.tail = TRUE)
- es <- theta[1] * (gamma(1-theta[2]) * pg/ (1-p0) - 1 )/
- theta[2] + loc0 }
- names(es) <- "expected shortfall"
- es }, list(loc0 = loc, p0 = p))
- bDes <- substitute({ if(theta[2]>=1L){ D1 <- D2 <- NA} else {
- scale <- theta[1]; shape <- theta[2]
- pg <- pgamma(-log(p0), 1-theta[2], lower.tail = TRUE)
- dd <- - ddigamma(-log(p0),1-theta[2])
- g0 <- gamma(1-theta[2])
- D1 <- (g0*pg/(1-p0)-1)/theta[2]
- D21 <- theta[1]*D1/theta[2]
- D22 <- theta[1]*dd/(1-p0)/theta[2]
- D2 <- -D21+D22}
- D <- t(c(D1, D2))
- rownames(D) <- "expected shortfall"
- colnames(D) <- NULL
- D }, list(loc0 = loc, p0 = p))
- }
- if(!is.null(N)){
- btel <- substitute({ if(theta[2]>=1L) el <- NA else{
- el <- N0*(loc0+theta[1]*(gamma(1-theta[2])-1)/theta[2])}
- names(el) <- "expected loss"
- el }, list(loc0 = loc,N0 = N))
- bDel <- substitute({ if(theta[2]>=1L){ D1 <- D2 <- NA}else{
- scale <- theta[1]; shape <- theta[2]
- ga <- gamma(1-shape)
- D1 <- N0*(ga-1)/shape
- D2 <- -N0*scale*ga*digamma(1-shape)/shape-
- D1*scale/shape}
- D <- t(c(D1, D2))
- rownames(D) <- "expected loss"
- colnames(D) <- NULL
- D }, list(loc0 = loc, N0 = N))
- }
-
- fromOfInt <- FALSE
- if(is.null(trafo)||..ignoreTrafo){fromOfInt <- TRUE
- trafo <- .define.tau.Dtau(of.interest, btq, bDq, btes, bDes,
- btel, bDel, p, N)
- }else if(is.matrix(trafo) & nrow(trafo) > 2)
- stop("number of rows of 'trafo' > 2")
-####
- param <- ParamFamParameter(name = "theta", main = c(theta[2],theta[3]),
- fixed = theta[1],
- trafo = trafo, withPosRestr = withPos,
- .returnClsName ="ParamWithScaleAndShapeFamParameter")
-
- ## distribution
- distribution <- GEV(loc = loc, scale = scale, shape = shape)
-
- ## starting parameters
- startPar <- function(x,...){
- mu <- theta[1]
-
- ## Pickand estimator
- if(is.null(start0Est)){
- #source("kMedMad_Qn_Estimators.R")
- PF <- GEVFamily(loc = theta[1], scale = theta[2], shape = theta[3])
- e1 <- PickandsEstimator(x,ParamFamily=PF)
- e0 <- estimate(e1)
- }else{
- if(is(start0Est,"function")){
- e1 <- start0Est(x, ...)
- e0 <- if(is(e1,"Estimate")) estimate(e1) else e1
- }else stop("Argument 'start0Est' must be a function or NULL.")
- if(!is.null(names(e0)))
- e0 <- e0[c("scale", "shape")]
- }
-# print(e0); print(str(x)); print(head(summary(x))); print(mu)
- if(any(x < mu-e0["scale"]/e0["shape"]))
- stop("some data smaller than 'loc-scale/shape' ")
-
- names(e0) <- NULL
- return(e0)
- }
-
- ## what to do in case of leaving the parameter domain
- makeOKPar <- function(theta) {
- if(withPos){
- theta <- abs(theta)
- }else{
- if(!is.null(names(theta))){
- theta["scale"] <- abs(theta["scale"])
- }else{
- theta[1] <- abs(theta[1])
- }
- }
- return(theta)
- }
-
- modifyPar <- function(theta){
- theta <- makeOKPar(theta)
- .warningGEVShapeLarge(theta["shape"])
- if(!is.null(names(theta))){
- sc <- theta["scale"]
- sh <- theta["shape"]
- }else{
- theta <- abs(theta)
- sc <- theta[1]
- sh <- theta[2]
- }
- GEV(loc = loc, scale = theta[1], shape = theta[2])
- }
-
-
- ## L2-derivative of the distribution
- L2deriv.fct <- function(param) {
- sc <- force(main(param)[1])
- k <- force(main(param)[2])
- tr <- fixed(param)[1]
- .warningGEVShapeLarge(k)
-
- Lambda1 <- function(x) {
- y <- x*0
- ind <- (x > tr-sc/k) # = [later] (x1>0)
- x <- (x[ind]-tr)/sc
- x1 <- 1 + k * x
- y[ind] <- (x*(1-x1^(-1/k))-1)/x1/sc
-# xi*(-1/xi-1)*(x[ind]-mu)/beta^2/(1+xi*(x[ind]-mu)/beta) - (x[ind]-mu)*(1+xi*(x[ind]-mu)/beta)^(-1/xi-1)/beta^2
- return(y)
- }
- Lambda2 <- function(x) {
- y <- x*0
- ind <- (x > tr-sc/k) # = [later] (x1>0)
- x <- (x[ind]-tr)/sc
- x1 <- 1 + k * x
- x2 <- x / x1
- y[ind]<- (1-x1^(-1/k))/k*(log(x1)/k-x2)-x2
-# log(1+xi*(x[ind]-mu)/beta)/xi^2+(-1/xi-1)*(x[ind]-mu)/beta/(1+xi*(x[ind]-mu)/beta) - (1+xi*(x[ind]-mu)/beta)^(-1/xi)*log(1+xi*(x[ind]-mu)/beta)/xi^2 + (1+xi*(x[ind]-mu)/beta)^(-1/xi-1)*(x[ind]-mu)/beta/xi
- return(y)
- }
- ## additional centering of scores to increase numerical precision!
- if(withCentL2){
- dist0 <- GEV(scale = sc, shape = k, loc = tr)
- suppressWarnings({
- z1 <- E(dist0, fun=Lambda1)
- z2 <- E(dist0, fun=Lambda2)
- })
- }else{z1 <- z2 <- 0}
- return(list(function(x){ Lambda1(x)-z1 },function(x){ Lambda2(x)-z2 }))
- }
-
- ## Fisher Information matrix as a function of parameters
- FisherInfo.fct <- function(param) {
- sc <- force(main(param)[1])
- k <- force(main(param)[2])
- .warningGEVShapeLarge(k)
- G20 <- gamma(2*k)
- G10 <- gamma(k)
- G11 <- digamma(k)*gamma(k)
- G01 <- -0.57721566490153 # digamma(1)
- G02 <- 1.9781119906559 #trigamma(1)+digamma(1)^2
- x0 <- (k+1)^2*2*k
- I11 <- G20*x0-2*G10*k*(k+1)+1
- I11 <- I11/sc^2/k^2
- I12 <- G20*(-x0)+ G10*(k^3+4*k^2+3*k) - k -1
- I12 <- I12 + G11*(k^3+k^2) -G01*k
- I12 <- I12/sc/k^3
- I22 <- G20*x0 +(k+1)^2 -G10*(x0+2*k*(k+1))
- I22 <- I22 - G11*2*k^2*(k+1) + G01*2*k*(1+k)+k^2 *G02
- I22 <- I22 /k^4
- mat <- PosSemDefSymmMatrix(matrix(c(I11,I12,I12,I22),2,2))
- dimnames(mat) <- list(scaleshapename,scaleshapename)
- return(mat)
- }
-
-
-
- FisherInfo <- FisherInfo.fct(param)
- name <- "GEV Family"
-
- ## initializing the GPareto family with components of L2-family
- L2Fam <- new("GEVFamily")
- L2Fam at scaleshapename <- scaleshapename
- L2Fam at name <- name
- L2Fam at param <- param
- L2Fam at distribution <- distribution
- L2Fam at L2deriv.fct <- L2deriv.fct
- L2Fam at FisherInfo.fct <- FisherInfo.fct
- L2Fam at FisherInfo <- FisherInfo
- L2Fam at startPar <- startPar
- L2Fam at makeOKPar <- makeOKPar
- L2Fam at modifyParam <- modifyPar
- L2Fam at L2derivSymm <- FunSymmList(NonSymmetric(), NonSymmetric())
- L2Fam at L2derivDistrSymm <- DistrSymmList(NoSymmetry(), NoSymmetry())
-
- L2deriv <- EuclRandVarList(RealRandVariable(L2deriv.fct(param),
- Domain = Reals()))
- L2derivDistr <- NULL
- if(withL2derivDistr){
- suppressWarnings(L2derivDistr <-
- imageDistr(RandVar = L2deriv, distr = distribution))
- }
-
- if(fromOfInt){
- L2Fam at fam.call <- substitute(GEVFamily(loc = loc0, scale = scale0,
- shape = shape0, of.interest = of.interest0,
- p = p0, N = N0,
- withPos = withPos0, withCentL2 = FALSE,
- withL2derivDistr = FALSE, ..ignoreTrafo = TRUE),
- list(loc0 = loc, scale0 = scale, shape0 = shape,
- of.interest0 = of.interest, p0 = p, N0 = N,
- withPos0 = withPos))
- }else{
- L2Fam at fam.call <- substitute(GEVFamily(loc = loc0, scale = scale0,
- shape = shape0, of.interest = NULL,
- p = p0, N = N0, trafo = trafo0,
- withPos = withPos0, withCentL2 = FALSE,
- withL2derivDistr = FALSE),
- list(loc0 = loc, scale0 = scale, shape0 = shape,
- p0 = p, N0 = N,
- withPos0 = withPos, trafo0 = trafo))
- }
-
- L2Fam at LogDeriv <- function(x){
- x0 <- (x-loc)/scale
- x1 <- 1 + x0 * shape
- (shape+1)/scale/x1 + x1^(-1-1/shape)/scale
- }
-
- L2Fam at L2deriv <- L2deriv
- L2Fam at L2derivDistr <- L2derivDistr
- L2Fam at .withMDE <- FALSE
- L2Fam at .withEvalAsVar <- FALSE
- L2Fam at .withEvalL2derivDistr <- FALSE
- return(L2Fam)
-}
-
-#ddigamma(t,s) is d/ds \int_0^t exp(-x) x^(s-1) dx
-
-ddigamma <- function(t,s){
- int <- function(x) exp(-x)*(log(x))*x^(s-1)
- integrate(int, lower=0, upper=t)$value
- }
-
\ No newline at end of file
More information about the Robast-commits
mailing list