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#Density function of the conditional distribution:
ddistr <- function(x, meanvalue, distr=c("poisson", "nbinom"), distrcoefs, ...){
distr <- match.arg(distr)
result <- switch(distr,
"poisson"=dpois(x, lambda=meanvalue, ...),
"nbinom"=dnbinom(x, mu=meanvalue, size=distrcoefs[[1]], ...)
)
return(result)
}
#Cumulative distribution function of the conditional distribution:
pdistr <- function(q, meanvalue, distr=c("poisson", "nbinom"), distrcoefs, ...){
distr <- match.arg(distr)
result <- switch(distr,
"poisson"=ppois(q, lambda=meanvalue, ...),
"nbinom"=pnbinom(q, mu=meanvalue, size=distrcoefs[[1]], ...)
)
return(result)
}
#Quantile function of the conditional distribution:
qdistr <- function(p, meanvalue, distr=c("poisson", "nbinom"), distrcoefs, ...){
distr <- match.arg(distr)
result <- switch(distr,
"poisson"=qpois(p, lambda=meanvalue, ...),
"nbinom"=qnbinom(p, mu=meanvalue, size=distrcoefs[[1]], ...)
)
return(result)
}
#Random number generation from conditional distribution:
rdistr <- function(n, meanvalue, distr=c("poisson", "nbinom"), distrcoefs){
distr <- match.arg(distr)
result <- switch(distr,
"poisson"=rpois(n, lambda=meanvalue),
"nbinom"=rnbinom(n, mu=meanvalue, size=distrcoefs[[1]])
)
return(result)
}
#Standard deviation of the conditional distribution:
sddistr <- function(meanvalue, distr=c("poisson", "nbinom"), distrcoefs){
distr <- match.arg(distr)
result <- switch(distr,
"poisson"=sqrt(meanvalue),
"nbinom"=sqrt(meanvalue + meanvalue^2/distrcoefs[[1]])
)
return(result)
}
#Anscombe residuals:
ardistr <- function(response, meanvalue, distr=c("poisson", "nbinom"), distrcoefs){
result <- switch(distr,
"poisson"=3/2*(response^(2/3)-meanvalue^(2/3))/meanvalue^(1/6),
"nbinom"=(3/distrcoefs[["size"]]*((1+response*distrcoefs[[1]])^(2/3) - (1+meanvalue*distrcoefs[[1]])^(2/3)) + 3*(response^(2/3)-meanvalue^(2/3))) / (2*(meanvalue+meanvalue^2*distrcoefs[[1]])^(1/6))
)
return(result)
}
checkdistr <- function(distr=c("poisson", "nbinom"), distrcoefs){
distr <- match.arg(distr)
if(distr=="nbinom"){
if(missing(distrcoefs) || length(distrcoefs)!=1) stop("For the negative binomial parameter (only) the dispersion parameter 'size' has to be provided in argument 'distrcoefs'")
if(distrcoefs[[1]]<=0) stop("The additional dispersion parameter for the negative binomial distribution has to be greater than zero")
}
}
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