ppoistweedie {poistweedie}

Distribution function for the Poisson-Tweedie family

Description

Distribution function, for the Poisson-Tweedie family of distributions

Usage

ppoistweedie(q, p, mu, lambda, theta0, lower.tail, log.p)

Arguments

q

vector of quantiles.

p

is a real index related to a precise model.

mu

the mean.

lambda

the dispersion parameter.

theta0

the canonical parameter.

log, log.p

logical; if TRUE, probabilities p are given as log(p).

lower.tail

logical; if TRUE (default), probabilities are P[X <= x], otherwise, P[X > x].

Details

The Poisson-Tweedie family of distributions belong to the class of exponential dispersion models (EDMs), famous for their role in generalized linear models.

Value

probability (ppoistweedie), for the given Poisson-Tweedie distribution with parameters

Author(s)

Cactha David Pechel, Laure Pauline Fotso and Celestin C Kokonendji Maintainer: Cactha David Pechel ( <[e-mail]>)

See Also

qpoistweedie

Examples

   
## function ppoistweedie(q, power, mu,lambda,theta0,
## lower.tail = TRUE, log.p = FALSE)
## Plot ppois() et ppoistweedie() avec log.p=FALSE
layout(matrix(1 :1, 1, 1))
layout.show(1)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       
power<-exp(30) 
mu<-5
lambda <- 5
theta0<--5
prob<-1-(mu/(1+mu))
lambda1<-lambda^2
q <- 0:100
## function ppoistweedie function with log=FALSE
d1<-ppoistweedie(q,power,mu,lambda,theta0,lower.tail=TRUE,log.p=FALSE)
d2<-ppois(q,lambda1,lower.tail=TRUE,log.p=FALSE)
erreure<- d1-d2
plot (q,d1,col='blue', type='h',xlab="q    
 avec  q=0:100,  power=exp(30),mu=5, lambda=5, 
 theta0=-5, lambda1=25", ylab="fonction de 
 repartition P(25)",main = "ppoistweedie(*,col='blue' log=FALSE)
 et ppois(*,col='red' log=FALSE)")
lines(q,d2,type ="p",col='red',lwd=2)
sum(abs(erreure))