The Burr X Fréchet Model for Extreme Values: Mathematical Properties, Classical Inference and Bayesian Analysis

Haitham Yousof, S. Jahanshahi, Vikas Kumar Sharma

Abstract


In this paper, we investigate a new model based on Burr X and Fréchet distribution 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 intervals of the parameters of the distribution using Markov Chain
Monte Carlo (MCMC) methods.

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DOI: http://dx.doi.org/10.18187/pjsor.v15i3.2799

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Title

The Burr X Fréchet Model for Extreme Values: Mathematical Properties, Classical Inference and Bayesian Analysis

Keywords


Description

In this paper, we investigate a new model based on Burr X and Fréchet distribution 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 intervals of the parameters of the distribution using Markov Chain
Monte Carlo (MCMC) methods.

Date

2019-09-13

Identifier


Source

Pakistan Journal of Statistics and Operation Research; Vol. 15 No. 3, 2019



Print ISSN: 1816-2711 | Electronic ISSN: 2220-5810