The two-sided power-binomial distribution for modeling binary count data


Genc A. İ.

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, vol.48, no.10, pp.2548-2561, 2019 (SCI-Expanded) identifier identifier

Abstract

The two-sided power (TSP) distribution is a flexible two-parameter distribution having uniform, power function and triangular as sub-distributions, and it is a reasonable alternative to beta distribution in some cases. In this work, we introduce the TSP-binomial model which is defined as a mixture of binomial distributions, with the binomial parameter p having a TSP distribution. We study its distributional properties and demonstrate its use on some data. It is shown that the newly defined model is a useful candidate for overdispersed binomial data.