Description Usage Arguments Details Author(s) References Examples

Function qCompound calculates quantiles of the random variable X.

1 | ```
qCompound(p,parent,compound,compoundDist,params,...)
``` |

`p` |
vector of probabilities |

`parent` |
name of the parent distribution. It can be any continuous distribution supported by R. |

`compound` |
name of the compound distribution. It can be any discrete distribution supported by this package. |

`compoundDist` |
list of available compounding distributions |

`params` |
Parameter or list of parameters of compounding distribution. |

`...` |
Parameters of continuous distribution could be provided as additional parameters. |

Parameters of the parent distribution must be provided in the same way as it is in built in R functions. See

http://127.0.0.1:23174/library/stats/html/Distributions.html

S. Nadarajah, B. V. Popovic, M. M. Ristic

Nadarajah S, Popovic B.V, Ristic M.M (2011) Compounding: An R Package for Computing Continuous Distributions Obtained by Compounding a Continuous and a Discrete Distribution (submitted)

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 | ```
compoundDist <- c("geometric","poisson","negativebinomial","binomial",
"logarithmic","binomialbinomial","binomialpoisson",
"poissonbinomial","neymantypea","polyaaeppli",
"poissonpascal","pascalpoisson",
"logarithmicbinomial","logarithmicpoisson",
"poissonlindley",
"hyperpoisson","yule","waring","kattitypeh1",
"kattitypeh2","neymantypeb","neymantypec",
"hypergeometric","thomas")
p<-0.5
parentD<-"beta"
compoundD<-"hypergeometric"
params<-c(3,2,0.5)
qCompound(p,parentD,compoundD,params,shape1=2,shape2=0.3)
## The function is currently defined as
qCompound <- function(p,parent,compound,compoundDist,params,...) {
if (!exists(paste("p",parent,sep=""))) {
return(paste("The parent distribution",parent,"doesn't exist"))
}
if (!is.element(compound,compoundDist)) {
return(paste("The discrete distribution",compound,"doesn't exist"))
}
l<-p[p<0|p>1]
if (length(l)>0) stop("Parameter p is probability")
xval <- real(length(p))
Finv <- get(paste("q", parent, sep = ""), mode = "function")
phi <- get(paste("pgf", compound, sep = ""), mode = "function")
phiInv <- get(paste("pgfI", compound, sep = ""), mode = "function")
xval <- Finv(1-phiInv(1-p*(1-phi(0,params)),params),...)
return(xval)
}
``` |

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