The Weibull odd Burr III-G family of distributions with properties and applications

Document Type : Original Scientific Paper

Authors

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

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

3 Department of Mathematics; Statistical Sciences, Faculty of Science, Botswana International University of Science; Technology, Palapye, Botswana

4 University of South Alabama Mobile, AL

Abstract

A new generalized family of distributions called the Weibull Odd Burr III-G is introduced using the T-X transformation technique. Some of useful mathematical and statistical properties such as the hazard function, quantile function, moments, probability weighted moments, Rényi entropy, order statistics and stochastic orders are derived. The method of maximum likelihood estimation is used to estimate the model parameters. The usefulness of these family of distributions is demonstrated via simulated experiments and its special cases are applied to real life data sets to illustrate flexibility.

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Journal of Statistical Modelling: Theory and Applications
Volume 2, Issue 2
July 2021
Pages 113-142

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History

  • Receive Date: 21 October 2020
  • Revise Date: 13 December 2020
  • Accept Date: 12 January 2021

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