# ppoistweedie: Distribution function for the Poisson-Tweedie family In poistweedie: Poisson-Tweedie exponential family models

## Description

Distribution function, for the Poisson-Tweedie family of distributions

## Usage

 `1` ```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 ( <[email protected]>)

`qpoistweedie`
 ``` 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24``` ``` ## 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)) ```