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The length-biased power hazard rate distribution: Some properties and applications

Author

Listed:
  • Mustafa Abdelfattah

    (Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, 35516, Egypt .)

  • Khan M. I.

    (Department of Mathematics, Faculty of Science, Islamic University of Madinah, KSA .)

Abstract

In this article, the length-biased power hazard rate distribution has introduced and investigated several statistical properties. This distribution reports an extension of several probability distributions, namely: exponential, Rayleigh, Weibull, and linear hazard rate. The procedure of maximum likelihood estimation is taken for parameters. Finally, the applicability of the model is explored by three real data sets. To examine, the performance of the technique, a simulation study is extracted.

Suggested Citation

  • Mustafa Abdelfattah & Khan M. I., 2022. "The length-biased power hazard rate distribution: Some properties and applications," Statistics in Transition New Series, Polish Statistical Association, vol. 23(2), pages 1-16, June.
    • Handle: RePEc:vrs:stintr:v:23:y:2022:i:2:p:1-16:n:13
    DOI: 10.2478/stattrans-2022-0013
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