The Alpha Power Marshall-Olkin-G Distribution: Properties, and Applications

Joseph Thomas Eghwerido (), Pelumi E. Oguntunde () and Friday Ikechukwu Agu ()
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Joseph Thomas Eghwerido: Federal University of Petroleum Resources Effurun
Pelumi E. Oguntunde: Covenant University
Friday Ikechukwu Agu: University of Calabar

Sankhya A: The Indian Journal of Statistics, 2023, vol. 85, issue 1, No 6, 172-197

Abstract: Abstract In this article, a new family of distribution called the alpha power Marshall-Olkin-G (APMO-G) family of distributions was proposed. The new family of distribution provides a better fit for continuous distributions for lifetime processes. The proposed family of distributions extends the existing alpha power transformed family of distributions by an additional parameter. A comprehensive reliability structural properties were derived. The moments, order statistics, hazard rate, and quantile functions, were also examined. The parameters of the proposed APMO-G model were obtained by the maximum likelihood method. Monte Carlo simulation was used to access the performance of the estimators. The goodness-of-fit test statistics were examined by means of two real-life data sets to demonstrate empirical flexibility. The results show that the APMO-G density provides a better fit when compared with other existing models and can serve as a better alternative model in the literature.

Keywords: Alpha power distribution; Burr-XII distribution; Bayesian inference; Gompertz distribution; Marshall-Olkin distribution; Moment generating function.; Primary 62E10; Secondary 62E15 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s13171-020-00235-y

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