Journal Published Online: 28 May 2020
Volume 49, Issue 5

Odd Burr III G-Negative Binomial Family with Application



In this article, we propose a general family of distributions called odd Burr III G-negative binomial. Several properties of the family are reported, including quantile function, mixture representation of its density, cumulative distribution functions, moments, incomplete moments, moment generating function, mean deviations, deviations, stochastic ordering, entropies, and parameter estimation via maximum likelihood (ML) method. A simulation study is carried out to check the asymptotic behavior of the ML estimates. The flexibility of the governing members of this family is shown by the use of data modeling such that the corresponding density functions may be symmetric, right-skewed, or left-skewed and their hazard rate functions can be increasing, decreasing, bathtub, upside-down bathtub, or constant.

Author Information

Jamal, Farrukh
Department of Statistics, Government Sadiq Abbas Post-Graduate College, Dera Nawab Sahib, Pakistan
Bakouch, Hassan S.
Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt
Arslan Nasir, M.
Department of Statistics, Government Sadiq Egerton College, Bahawalpur, Pakistan
Pages: 21
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Stock #: JTE20180710
ISSN: 0090-3973
DOI: 10.1520/JTE20180710