Title: Inference of the weighted type I and type II bivariate Polya-Aeppli distributions
Authors: Claire Geldenhuys - University of Pretoria (South Africa) [presenting]
Rene Ehlers - University of Pretoria (South Africa)
Abstract: The purpose is to discuss and compare the method of moments estimation of the model parameters for the existing and proposed weighted Type I and Type II bivariate Polya-Aeppli distributions. Two different weight functions are used for the weighted distributions. We also compare the success rates of the estimation method for the different distributions and consider scenarios where some of the distributions might be preferable over the others. Real and synthetic data are used to compare the fit of the existing and proposed weighted Type I and Type II bivariate Polya-Aeppli models to data.