A New Weighted T − X Perks Distribution: Characterization, Simulation And Applications

Dorathy  N. Ugwu; Sidney  I. Onyeagu; Chinyere  P. Igbokwe

doi:10.22105/opt.v1i1.48

Authors

Dorathy N. Ugwu * Department of Statistics, Faculty of Physical Sciences, Chukwuma Odumegwu Ojukwu University, Igbariam, Anambra State, Nigeria.
Sidney I. Onyeagu Department of Statistics, Faculty of Physical Sciences, Nnamdi Azikiwe University, Awka, Anambra State, Nigeria.
Chinyere P. Igbokwe Department of Statistics, School of Science & Industrial Technology, Abia State Polytechnic, Aba, Abia State, Nigeria.

https://doi.org/10.22105/opt.v1i1.48

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Abstract

In this article, a new distribution is proposed to innovate the Perks distribution by altering its functional form without introducing additional parameter. The proposed distribution is named a new weighted T-X Perks (WT-XP) distribution. For this distribution, expressions for some mathematical properties are derived. The maximum likelihood estimates of the parameters α and β are derived and implemented for complete samples that follow the WT-XP distribution. To illustrate the importance of the proposed distribution over the other well-known distributions, two applications to real data sets are analyzed and the WT-XP distribution appear more attractive based on the Kolmogorov Smirnov statistic p-values and the model performance indicators used.

Keywords

Functional Form Moment, Perks Distribution Quantile Function Weighted T-X Family

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A New Weighted T − X Perks Distribution: Characterization, Simulation And Applications

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