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Transmuted Weibull Power Function Distribution: its Properties and Applications
Volume 16, Issue 2 (2018), pp. 397–418
Muhammad Ahsan ul Haq   M. Elgarhy   Sharqa Hashmi     All authors (5)

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https://doi.org/10.6339/JDS.201804_16(2).0009
Pub. online: 4 August 2022      Type: Research Article      Open accessOpen Access

Published
4 August 2022

Abstract

In this paper, we introduce a new four-parameter distribution called the transmuted Weibull power function (TWPF) distribution which e5xtends the transmuted family proposed by Shaw and Buckley [1]. The hazard rate function of the TWPF distribution can be constant, increasing, decreasing, unimodal, upside down bathtub shaped or bathtub shape. Some mathematical properties are derived including quantile functions, expansion of density function, moments, moment generating function, residual life function, reversed residual life function, mean deviation, inequality measures. The estimation of the model parameters is carried out using the maximum likelihood method. The importance and flexibility of the proposed model are proved empirically using real data sets.

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Keywords
Weibull distribution transmuted family moments

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Journal of data science

  • Online ISSN: 1683-8602
  • Print ISSN: 1680-743X

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