ON KEMPTON’S GENERALIZATION OF THE NEGATIVE BINOMIAL DISTRIBUTION

Authors

  • Seng-Huat Ong UCSI University
  • Yeh Ching Low Sunway University

DOI:

https://doi.org/10.22452/mjs.vol38no2.5

Abstract

This paper examines the properties, applications to empirical modelling and computation of probabilities of Kempton’s generalization of the negative binomial and log-series distributions.  The important properties of infinite divisibility and unimodality have been derived. To facilitate computation of the complicated probabilities, practical implementation of the three-term probability recurrence relations is presented. Although the generalization of the negative binomial and log-series distributions have been formulated to fit extremely long-tailed count data, the versatility of this generalized negative binomial distribution to fit short-tailed and long-tailed data is illustrated.

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Published

28-08-2019

How to Cite

Ong, S.-H., & Low, Y. C. (2019). ON KEMPTON’S GENERALIZATION OF THE NEGATIVE BINOMIAL DISTRIBUTION. Malaysian Journal of Science (MJS), 38(2), 67–78. https://doi.org/10.22452/mjs.vol38no2.5

Issue

Vol. 38 No. 2 (2019): Vol 38 No 2 (August 2019)

Section

Original Articles

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