44 lines
1.1 KiB
R
44 lines
1.1 KiB
R
# Characteristic function of GAL distribution
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#
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# Author: Francois Pelletier
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#
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# LGPL 3.0
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###############################################################################
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#' Characteristic function of GAL distribution
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#' @param u Transform variate
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#' @param param Parameter vector
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#' @param type Choose between "mu" or "kappa" parametrization
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#' @param log Logical for log-parameters
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#' @return Characteristic function value at point u for given parameter vector
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#' @export cfGAL
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#' @author Francois Pelletier
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cfGAL <- function(u,param,type="mu",log=FALSE)
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{
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testparGAL(param,type,log)
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if(log)
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{
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if(type=="mu")
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{
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return(exp(1i*exp(param[1])*u)*(1+(exp(param[2])^2*u^2)/2-1i*exp(param[3])*u)^(-exp(param[4])))
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}
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if(type=="kappa")
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{
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return(exp(1i*exp(param[1])*u)*(1+(exp(param[2])^2*u^2)/2-(1/2*1i)*
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exp(param[2])*sqrt(2)*(1/exp(param[3])-exp(param[3]))*u)^(-exp(param[4])))
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}
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}
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else
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{
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if(type=="mu")
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{
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return(exp(1i*param[1]*u)*(1+(param[2]^2*u^2)/2-1i*param[3]*u)^(-param[4]))
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}
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if(type=="kappa")
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{
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return(exp(1i*param[1]*u)*(1+(param[2]^2*u^2)/2-(1/2*1i)*
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param[2]*sqrt(2)*(1/param[3]-param[3])*u)^(-param[4]))
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}
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}
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}
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