New Extension of Weibull Distribution: Copula, Mathematical Properties and Data Modeling

  • Hanaa Elgohari Mansoura university
  • Haitham Yousof
Keywords: Marshall-Olkin Family; Lehmann Weibull Distribution; Order Statistics, Maximum Likelihood Estimation; Simulation; Generating Function; Quantile function; Moments.

Abstract

This paper introduces a new flexible four-parameter lifetime model. Various of its structural properties are derived. The new density is expressed as a linear mixture of well-known exponentiated Weibull density. The maximum likelihood method is used to estimate the model parameters. Graphical simulation results to assess the performance of the maximum likelihood estimation are performed. We proved empirically the importance and flexibility of the new model in modeling four various types of data.

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Published
2020-11-24
How to Cite
Elgohari, H., & Yousof, H. (2020). New Extension of Weibull Distribution: Copula, Mathematical Properties and Data Modeling. Statistics, Optimization & Information Computing, 8(4), 972-993. https://doi.org/10.19139/soic-2310-5070-1036
Section
Research Articles