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

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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.

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Authors and Affiliations

  1. Department of Mathematics, Federal University of Petroleum Resources Effurun, Delta State, Nigeria

    Joseph Thomas Eghwerido

  2. Department of Mathematics, Covenant University, Ota, Nigeria

    Pelumi E. Oguntunde

  3. Department of Statistics, University of Calabar, Cross River State, Nigeria

    Friday Ikechukwu Agu

Authors
  1. Joseph Thomas Eghwerido
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  2. Pelumi E. Oguntunde
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  3. Friday Ikechukwu Agu
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The study proposes a new class of the family of the alpha power and Marshall-Olkin distributions. The Statistical properties of the APMO-G distribution were established.

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Correspondence to Joseph Thomas Eghwerido.

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Eghwerido, J.T., Oguntunde, P.E. & Agu, F.I. The Alpha Power Marshall-Olkin-G Distribution: Properties, and Applications. Sankhya A 85, 172–197 (2023). https://doi.org/10.1007/s13171-020-00235-y

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