the Exponential Modified Weibull Logistic Distribution (EMWL)

  • Manal Mohamed Nassar
  • Salwa Said Radwan
  • Ayat Salah Elmasry
Keywords: Modified Weibull distribution, Quantile function, maximum likelihood estimation

Abstract

This paper introduces a new distribution named Exponential Modified Weibull logistic distribution. This distribution generalizes the following distributions: (1) Linear Failure Rate Logistic Distribution, (2) Weibull Logistic Distribution, (3) Rayleigh Logistic Distribution, (4) Exponential Logistic Distribution, where the failure rate, Weibull, Rayleigh and exponential distributions are the distributions most used for analyzing lifetime data. The properties of the new distribution are derived that include expressions for the r^thmoment, characteristic function and quantile function. The estimation of model parameters are performed by the method of maximum likelihood and hence evaluation of the performance of maximum likelihood estimation using simulation.

Author Biographies

Manal Mohamed Nassar
Professor, Department of Mathematical Statistics& Mathematics,Faculty of Science.
Salwa Said Radwan
Assistant Professor, Department of Mathematical Statistics& Mathematics, Faculty of Science (girls Branch)
Ayat Salah Elmasry
Assistant Lecturer, Department of Mathematical Statistics& Mathematics, Faculty of Science.

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Published
2018-01-31
How to Cite
Nassar, M., Radwan, S., & Elmasry, A. (2018, January 31). the Exponential Modified Weibull Logistic Distribution (EMWL). EPH - International Journal of Mathematics and Statistics (ISSN: 2208-2212), 4(1), 22-38. Retrieved from https://ephjournal.com/index.php/ms/article/view/468