Main Article Content

Abstract

We present a new class of distributions called the Topp-Leone-G Power Series (TL-GPS) class of distributions. This model is obtained by compounding the Topp-Leone-G distribution with the power series distribution. Statistical prop- erties of the TL-GPS class of distributions are obtained. Maximum likelihood estimates for the proposed model were obtained. A simulation study is carried out for the special case of Topp-Leone Log-Logistic Poisson distribution to assess the performance of the maximum likelihood estimates. Finally, we apply Topp-Leone-log-logistic Poisson distribution to real data sets to illustrate the usefulness and applicability of the proposed class of distributions.

Keywords

Topp-Leone-G Power Series Distribution Maximum Likelihood Estimation

Article Details

Author Biography

Fastel Chipepa, Botswana International University of Science and Technology

PhD statistics Student

Department of Mathematics and Statistical Sciences

How to Cite
Chipepa, F., Makubate, B., Oluyede, B., & Rannona, K. (2021). The The Topp Leone-G Power Series Class of Distributions with Applications: Top-Leone-G Power Series Class of Distributions. Pakistan Journal of Statistics and Operation Research, 17(4), 827-846. https://doi.org/10.18187/pjsor.v17i4.3636

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