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The Topp Leone-G Power Series Class of Distributions with Applications
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
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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