The Type II Topp-Leone-G Power Series Distribution with Applications on Bladder Cancer

Boikanyo Makubate; Marang  Matsuokwane; Lesego Gabaitiri; Broderick O. Oluyede; Simbarashe Chamunorwa

doi:10.46481/jnsps.2022.848

Authors

Boikanyo Makubate
[email protected]
Botswana International University of Science and Technology, P. Bag 16, Palapye, Botswana https://orcid.org/0000-0002-1581-3165
Marang Pearl Matsuokwane Botswana International University of Science & Technology
Lesego Gabaitiri Botswana International University of Science and Technology, P. Bag 16, Palapye, Botswana
Broderick O. Oluyede otswana International University of Science and Technology, P. Bag 16, Palapye, Botswana
Simbarashe Chamunorwa Botswana International University of Science and Technology, P. Bag 16, Palapye, Botswana

Keywords:

Type II Topp-Leone-G Distribution, Power Series Distribution, Maximum Likelihood Estimation

Abstract

Statistical distributions are important in modeling the real life of an item and therefore proper distributions that provide useful information for sound conclusions and decisions are needed. For that reason, the demand for developing new generalized distributions have become appropriate for data that have both monotonic and non-monotonic hazard rate functions. In this paper, we develop a new distribution called the Type II Topp-Leone-G Power Series (TIITLGPS) distribution by compounding the Type II Topp-Leone-G (TIITLG) distribution with the power series distribution. Statistical properties of the TIITLGPS distribution are obtained. A variety of shapes for the densities and hazard rate are presented of the considered special case. A simulation study to examine the efficiency of the maximum likelihood estimates is also conducted. Finally, the bladder cancer data example is analyzed for illustrative purposes, it is displayed that the introduced distribution provides better fit when compared to other non-nested distributions considered in this work.

Dimensions

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