Transmuted Topp-Leone Power Function Distribution: Theory and Application

Authors

Amal S. Hassan, Department of Mathematical Statistics, Faculty of Graduate Studies for Statistical Research, Cairo University, Egypt
Mundher Abdullah Khaleel
Said G. Nassr

Author Country (or Countries)

Egypt

Abstract

In this paper, a new four-parameter (i.e. called the transmuted Topp-Leone power function (TTLPF) distribution) is proposed based on the transmuted Topp-Leone-G family. We derive moments, incomplete moments, probability weighted moments, quantile function, Bonferroni and Lorenz curves, and order statistics. The maximum likelihood and percentiles procedures are used to estimate the model parameters. A simulation study is carried out to evaluate and compare the performance of estimates in terms of their biases, standard errors and mean square errors. Eventually, we empirically prove the importance and flexibility of the new model in modeling two types of lifetime data.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/100120

Recommended Citation

S. Hassan, Amal; Abdullah Khaleel, Mundher; and G. Nassr, Said (2021) "Transmuted Topp-Leone Power Function Distribution: Theory and Application," Journal of Statistics Applications & Probability: Vol. 10: Iss. 1, Article 20.
DOI: http://dx.doi.org/10.18576/jsap/100120
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol10/iss1/20