The Poisson Topp Leone Generator of Distributions for Lifetime Data: Theory, Characterizations and Applications

Authors

Faton Merovci, University of MitrovicaFollow
Haitham M. Yousof, Benha University
Gholamhossein Hamedani, Marquette UniversityFollow

Document Type

Article

Publication Date

2020

Publisher

University of the Punjab

Source Publication

Pakistan Journal of Statistics and Operation Research

Source ISSN

1816-2711

Original Item ID

DOI: 10.18187/pjsor.v16i2.3230

Abstract

We study a new family of distributions defined by the minimum of the Poisson random number of independent identically distributed random variables having a Topp Leone-G distribution (see Rezaei et al., (2016)). Some mathematical properties of the new family including ordinary and incomplete moments, quantile and generating functions, mean deviations, order statistics, reliability and entropies are derived. Maximum likelihood estimation of the model parameters is investigated. Some special models of the new family are discussed. An application is carried out on real data set applications sets to show the potentiality of the proposed family.

Comments

Published version. Pakistan Journal of Statistics and Operation Research, Vol. 16, No. 2 (2020): 343-355. DOI.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Recommended Citation

Merovci, Faton; Yousof, Haitham M.; and Hamedani, Gholamhossein, "The Poisson Topp Leone Generator of Distributions for Lifetime Data: Theory, Characterizations and Applications" (2020). Mathematical and Statistical Science Faculty Research and Publications. 73.
https://epublications.marquette.edu/math_fac/73