Poisson Transmuted-G Family of Distributions: Its Properties and Applications

Authors

Laba Handique, Dibrugarh University
Subrata Chakraborty, Dibrugarh University
M. S. Eliwa, Majmaah University
Gholamhossein Hamedani, Marquette UniversityFollow

Document Type

Article

Publication Date

2021

Publisher

University of the Punjab

Source Publication

Pakistan Journal of Statistics and Operation Research

Source ISSN

1816-2711

Abstract

In this article, an extension of the transmuted-G family is proposed, in the so-called Poison transmuted-G family of distributions. Some of its statistical properties including quantile function, moment generating function, order statistics, probability weighted moment, stress-strength reliability, residual lifetime, reversed residual lifetime, Rényi entropy and mean deviation are derived. A few important special models of the proposed family are listed. Stochastic characterizations of the proposed family based on truncated moments, hazard function and reverse hazard function, are also studied. The family parameters are estimated via the maximum likelihood approach. A simulation study is carried out to examine the bias and mean square error of the maximum likelihood estimators. The advantage of the proposed family in data fitting is illustrated by means of two applications to failure time data sets.

Comments

Published version. Pakistan Journal of Statistics and Operation Research, Vol. 17, No. 1 (2021): 309-332. DOI. © 2021 University of the Punjab. Used with permission.

Recommended Citation

Handique, Laba; Chakraborty, Subrata; Eliwa, M. S.; and Hamedani, Gholamhossein, "Poisson Transmuted-G Family of Distributions: Its Properties and Applications" (2021). Mathematical and Statistical Science Faculty Research and Publications. 86.
https://epublications.marquette.edu/math_fac/86