Provides probability mass, distribution, quantile, random-variate generation, and method-of-moments parameter-estimation functions for the Delaporte distribution. The Delaporte is a discrete probability distribution which can be considered the convolution of a negative binomial distribution with a Poisson distribution. Alternatively, it can be considered a counting distribution with both Poisson and negative binomial components. It has been studied in actuarial science as a frequency distribution which has more variability than the Poisson, but less than the negative binomial.
Delaporte is an
R package which provides the probability mass, distribution, quantile, random variate generation, and method of moments parameter estimation functions for the Delaporte distribution. As the distribution does not have a closed form but requires summations or double summations to calculate values, the functions have been programmed in Fortran and C. In cases where approximations are sufficient, the quantile and random variate generator have the option to use a much faster Poisson-negative binomial estimate as opposed to the full Delaporte double summations.
The author is grateful to Drew Schmidt both generally for his writings on R, C++, and Fortran and specifically for help with this project.