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

Abdelfattah Mustafa; M. I. Khan

doi:10.2478/stattrans-2022-0013

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

Abdelfattah Mustafa Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt ORCID:https://orcid.org/0000-0002-8551-6115 , M. I. Khan Department of Mathematics, Faculty of Science, Islamic University of Madinah, KSA ORCID:https://orcid.org/0000-0002-5793-9786 Statistics in Transition new series, vol. 23, 2022, 2, pages: 1–16 Published online: 14 June 2022 DOI 10.2478/stattrans-2022-0013

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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.

KEYWORDS

length-biased, power hazard rate distribution, maximum likelihood estimation

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