The exponentiated half logistic-log-logistic Weibull distribution: Model, properties and applications

Document Type : Original Scientific Paper

Authors

1 Mathematics and Statistical Sciences, Science and Technology, Botswana International University of Science and Technology, Palapye, BW.

2 Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Palapye, Botswana

3 Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology

Abstract

We develop a generalized distribution, namely, exponentiated half logistic log-logistic Weibull distribution. Several structural properties of the distribution including expansion of density, distribution of order statistics, Rényi entropy, moments, probability weighted moments, quantile function, generating function, and maximum likelihood estimates were derived. A simulation study to examine the consistency of the maximum likelihood estimates was conducted. Finally, real data examples are presented to illustrate the applicability and usefulness of the proposed model.

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Journal of Statistical Modelling: Theory and Applications
Volume 2, Issue 1
January 2021
Pages 101-120

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History

  • Receive Date: 30 October 2020
  • Revise Date: 05 May 2021
  • Accept Date: 08 September 2021

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