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

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

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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Published

2024-07-29

Issue

Vol. 1 No. 1 (2024): OPT

Section

Articles

How to Cite

N. Ugwu, D. ., I. Onyeagu, S. ., & P. Igbokwe, C. . (2024). A New Weighted T − X Perks Distribution: Characterization, Simulation And Applications. Optimality, 1(1), 66-81. https://doi.org/10.22105/opt.v1i1.48