A New Family of Distributions in the Class of the Alpha Power Transformation with Applications to Income
R. M. Mandouh, E. M. Sewilam, M. M. Abdel-Zaher, M. R. Mahmoud
Asian Journal of Probability and Statistics · pp. 41–55 · Published 10 Aug 2022
10.9734/ajpas/2022/v19i130463Abstract
In this paper, a new technique of the alpha-power transformation (APT) is used to propose a new class of probability distribution which is particularly useful for analysis of lifetime data. For the illustrative purposes of the new proposal, a special sub-model of the proposed family is considered in details. Various mathematical properties of the proposed model including quantile function, moments and moment generating function, residual life, mean residual life and order statistics are derived. The maximum likelihood method is used to estimate the unknown parameters. Finally A real data set is analyzed using the new distribution, and a simulation study is carried out to asses the performance of the new family.
Cited by 1
منى عبد الظاهر · التجارة والتمويل · 2023
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