The Topp Leone-G Power Series Class of Distributions with Applications | [Pakistan Journal of Statistics and Operation Research • 2021]

Author(s):

1. Boikanyo Makubate: Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Botswana

2. Kethamile Rannona: Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Botswana

3. Broderick Oluyede: Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Botswana

4. Fastel Chipepa: Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Botswana

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 properties 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.

Page(s): 827-846

DOI: 10.18187/pjsor.v17i4.3636

Published: Journal: Pakistan Journal of Statistics and Operation Research, Volume: 17, Issue: 4, Year: 2021

Keywords:

Maximum Likelihood Estimation , ToppLeoneG Distribution , Power series distribution

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