Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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A NOVEL WEIBULL MARSHALL-OLKIN POWER LOMAX DISTRIBUTION: PROPERTIES AND APPLICATIONS TO MEDICINE AND ENGINEERING

  • ELHAM MORADI (Department of Statistics and Mathematics, Central Tehran Branch, Islamic Azad University) ;
  • ZAHRA SHOKOOH GHAZANI (Department of Statistics and Mathematics, Central Tehran Branch, Islamic Azad University)
  • Received : 2022.12.29
  • Accepted : 2023.09.12
  • Published : 2023.11.30
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Abstract

This paper introduced the Weibull Marshall-Olkin Power Lomax (WMOPL) distribution. The statistical aspects of the proposed model are presented, such as the quantiles function, moments, mean residual life and mean deviations, variance, skewness, kurtosis, and reliability measures like the residual life function, and stress-strength reliability. The parameters of the new model are estimated using six different methods, and simulation research is illustrated to compare the six estimation methods. In the end, two real data sets show that the Weibull Marshall-Olkin Power Lomax distribution is flexible and suitable for modeling data.

Keywords

Acknowledgement

The authors would like to thank referees for useful comments and suggestions.

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