An R Implementation of the Polya-Aeppli Distribution
Conrad J. Burden
TL;DR
This paper introduces an efficient R package, polyaAeppli, for implementing the Polya-Aeppli distribution, providing functions for its probability mass, cumulative, quantile, and random variate generation.
Contribution
It provides the first comprehensive R implementation of the Polya-Aeppli distribution with standard functions for statistical analysis.
Findings
The package enables easy computation of the distribution's functions.
It improves computational efficiency for the Polya-Aeppli distribution.
The implementation is compatible with existing R statistical tools.
Abstract
An efficient implementation of the Polya-Aeppli, or geometirc compound Poisson, distribution in the statistical programming language R is presented. The implementation is available as the package polyaAeppli and consists of functions for the mass function, cumulative distribution function, quantile function and random variate generation with those parameters conventionally provided for standard univatiate probability distributions in the stats package in R
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Taxonomy
TopicsBayesian Methods and Mixture Models · Statistical Distribution Estimation and Applications · Mathematical and Theoretical Epidemiology and Ecology Models