The Exponentiated Generalized Topp Leone-G Family of Distributions: Properties and Applications

Authors

Hesham Mohammed Reyad, Qassim University
Morad Alizadeh, Persian Gulf University-BushehrFollow
Farrukh Jamal, Dera Nawab Sahib
Soha Othman, Cairo University
Gholamhossein G. Hamedani, Marquette UniversityFollow

Document Type

Article

Language

eng

Publication Date

2019

Publisher

University of the Punjab

Source Publication

Pakistan Journal of Statistics and Operation Research

Source ISSN

1816-2711

Abstract

In this paper, we propose a new class of continuous distributions called the exponentiated generalized Topp Leone-G family that extends the Topp Leone-G family introduced by Al-Shomrani et al. (2016). We derive explicit expressions for certain mathematical properties of the new family such as; ordinary and incomplete moments, generating functions, reliability analysis, Lorenz and Bonferroni curves, Rényi entropy, stress strength model, moment of residual and reversed residual life, order statistics, extreme values and characterizations. We discuss the maximum likelihood estimates and the observed information matrix for the model parameters. Two real data sets are used to illustrate the flexibility of the new family.

Comments

Published version. Pakistan Journal of Statistics and Operation Research, Vol. XV, No. 1 (2019): 1-24. DOI. © 2019 University of the Punjab. Used with permission.

Recommended Citation

Reyad, Hesham Mohammed; Alizadeh, Morad; Jamal, Farrukh; Othman, Soha; and Hamedani, Gholamhossein G., "The Exponentiated Generalized Topp Leone-G Family of Distributions: Properties and Applications" (2019). Mathematical and Statistical Science Faculty Research and Publications. 32.
https://epublications.marquette.edu/math_fac/32