The Burr X Fréchet Model for Extreme Values: Mathematical Properties, Classical Inference and Bayesian Analysis | [Pakistan Journal of Statistics and Operation Research • 2019]

Author(s):

1. S. M. A. Jahanshahi: Department of Statistics, University of Sistan and Baluchestan, Zahedan, Iran

2. Haitham M. Yousof: Department of Statistics, Mathematics and Insurance, Benha University, Egypt

3. Vikas Kumar Sharma: Department of Mathematics, Institute of Infrastructure Technology, Research and Management (IITRAM), Ahmedabad, India

Abstract:

In this paper, we investigate a new model based on Burr X and Fréchet distributions for extreme values and derive some of its properties. Maximum likelihood estimation along with asymptotic confidence intervals is considered for estimating the parameters of the distribution. We demonstrate empirically the flexibility of the distribution in modeling various types of real data. Furthermore, we also provide Bayes estimators and highest posterior density (HPD) intervals of the parameters of the distribution using Markov Chain Monte Carlo (MCMC) methods.

Page(s): 797-818

DOI: DOI not available

Published: Journal: Pakistan Journal of Statistics and Operation Research, Volume: 15, Issue: 3, Year: 2019

Keywords:

Moments , Bayesian estimation , Maximum Likelihood Estimation , Order statistics , Burr X family , The Fréchet distribution , Gibbs Algorithm

References:

[1] Jahanshahi S.M.A.,Yousof H. M.,Sharma V. K. .2019 .The Burr X Fréchet Model for Extreme Values: Mathematical Properties, Classical Inference and Bayesian Analysis. Pak. J. Stat. Oper. Res., 15(3) : 797-818.

[2] Jahanshahi S.M.A.,Yousof H. M.,Sharma V.K. .2019 .The Burr X Fréchet Model for Extreme Values: Mathematical Properties, Classical Inference and Bayesian Analysis. Pak. J. Stat. Oper. Res., 15(3) : 797-818.

[3] Jahanshahi S.M.A.,Yousof H. M.,Sharma V.K. .2019 .The Burr X Fréchet Model for Extreme Values: Mathematical Properties, Classical Inference and Bayesian Analysis. Pak. J. Stat. Oper. Res., 15(3) : 797-818.

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