Extended Odd Weibull Pareto Distribution, Estimation and Applications

Authors

Ehab M. Almetwally, Department of Statistics, Faculty of Business Administration, Delta University of Science and Technology, Mansoura, EgyptFollow
Hanan Haj Ahmad, Department of Basic Science, Preparatory Year Deanship, King Faisal University, Hofuf, Al-Ahsa, 31982, Saudi ArabiaFollow
Hisham M. Almongy, Department of Applied Statistics and Insurance, Faculty of Commerce, Mansoura University, Mansoura, EgyptFollow

Abstract

We introduce a new three-parameter continuous lifetime. It combines Pareto and Weibull distributions to formulate the extended odd Weibull Pareto distribution. This new distribution has many nice properties as it has a simple linear representation. We observe its hazard rate function, moments and moment generating function, in addition to mean residual and mean inactivity time. Different classical and Bayesian estimation methods are used to estimate the unknown parameters of extended odd Weibull Pareto distribution. Monte Carlo Markov chain method are used for numerical analysis, simulation is used to assess the use of estimation methods. Two real data examples are analyzed for illustrative purpose.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/110304

Recommended Citation

M. Almetwally, Ehab; Haj Ahmad, Hanan; and M. Almongy, Hisham (2022) "Extended Odd Weibull Pareto Distribution, Estimation and Applications," Journal of Statistics Applications & Probability: Vol. 11: Iss. 3, Article 4.
DOI: http://dx.doi.org/10.18576/jsap/110304
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol11/iss3/4