The odd generalized half-logistic Weibull-G family of distributions: properties and applications

Document Type : Original Scientific Paper

Authors

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

2 ‎Department of Applied Mathematics and Statistics, Midlands State University‎, ‎Gweru‎, ‎Zimbabwe

Abstract

We propose a new generalized family of distributions called the odd generalized half logistic Weibull-G family of distributions. We also considered some special cases when the baseline distribution are uniform, Weibull and normal distributions. Structural properties of the new family of distributions including expansion of density, distribution of order statistics, Rényi entropy, moments, probability weighted moments, quantile and generating functions, and maximum likelihood estimates were derived. A characterization based on conditional expectation is presented. A simulation study to examine efficiency of the maximum likelihood estimates is also conducted. Finally, a real data example is presented to illustrate the applicability and usefulness of the proposed model.

Keywords

References

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Journal of Statistical Modelling: Theory and Applications
Volume 1, Issue 1 - Serial Number 1
January 2020
Pages 65-89

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History

  • Receive Date: 27 January 2020
  • Revise Date: 07 May 2020
  • Accept Date: 12 May 2020

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