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A New Class of the Power Function Distribution: Theory and Inference with an Application to Engineering Data

Author

Listed:
  • Alya Al Mutairi
  • Muhammad Z. Iqbal
  • Muhammad Z. Arshad
  • Ahmed Z. Afify
  • Melike Kaplan

Abstract

In this study, a new class that generates optimal univariate models called a new exponentiated-G class of distributions is developed. Numerous complementary statistical properties are derived and discussed in detail for the newly exponentiated power function (EPF) distribution. All possible shapes of the probability density and hazard rate functions are sketched for selected values of parameters. Six accredited estimation methods are discussed, and their performance is assessed and compared by a simulation study. The applicability of the new class is evaluated by analyzing the automotive engineering sector data.

Suggested Citation

  • Alya Al Mutairi & Muhammad Z. Iqbal & Muhammad Z. Arshad & Ahmed Z. Afify & Melike Kaplan, 2022. "A New Class of the Power Function Distribution: Theory and Inference with an Application to Engineering Data," Journal of Mathematics, Hindawi, vol. 2022, pages 1-15, March.
    • Handle: RePEc:hin:jjmath:1206254
    DOI: 10.1155/2022/1206254
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    Cited by:

    1. Abdulaziz S. Alghamdi & M. M. Abd El-Raouf, 2023. "Exploring the Dynamics of COVID-19 with a Novel Family of Models," Mathematics, MDPI, vol. 11(7), pages 1-29, March.

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