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


Genc A. İ.

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, cilt.48, ss.2548-2561, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 48 Konu: 10
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1080/03610926.2018.1472778
  • Dergi Adı: COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
  • Sayfa Sayıları: ss.2548-2561

Özet

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.