rgenpois {gmvjoint}

Simulate realisations from a generalised poisson distribution

Description

Simulate realisations from a generalised poisson distribution

Usage

rgenpois(mu, phi)

Arguments

mu

A numeric vector of rates \exp{\eta}, with \eta the linear predictor.

phi

A numeric specifying the dispersion \varphi. If \varphi<0 the response will be under-dispersed and overdispersed if \varphi>0.

Details

Follows the "GP-1" implementation of the generalised Poisson distribution outlined in Zamani & Ismail (2012). The variance of produced Y is (1+\varphi)^2\mu. As such the dispersion parameter is bounded (i.e. not in positive reals as with CMP distribution).

Value

An appropriately-dimensioned vector of count data.

References

Zamani H and Ismail N. Functional Form for the Generalized Poisson Regression Model, Communications in Statistics - Theory and Methods 2012; 41(20); 3666-3675.