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Bayesian Analysis of Exponentiated Pareto Distribution

Authors:

Mohammed H. AbuJarad ,

Aligarh Muslim University, Aligarh, 202002, IN
About Mohammed H.
Department of Statistics and Operations Research
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Eman S. AbuJarad,

Aligarh Muslim University, Aligarh, 202002, IN
About Eman S.
Department of Mathematics
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Athar Ali Khan

Aligarh Muslim University, Aligarh, 202002, IN
About Athar Ali
Department of Statistics and Operations Research
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Abstract

Modeling and analysis of Survival has been proved a fruitful aspect of statistical work in many fields of science. This paper aims at using Bayesian approach to fitting exponentiated Pareto distribution first introduced by Gupta et al in 1998. A Bayesian approach has been adopted to fit this model as survival model. A real survival data set is used for illustration. Implementation is done using Laplace Approximation, some graphical representations related to the probability density function and hazard function of the exponentiated Pareto are provided. Laplace Approximation codes have been provided to implement censoring mechanism using both optimization and simulation tools.
How to Cite: AbuJarad, M.H., AbuJarad, E.S. and Khan, A.A., 2019. Bayesian Analysis of Exponentiated Pareto Distribution. Sri Lankan Journal of Applied Statistics, 20(1), pp.1–19. DOI: http://doi.org/10.4038/sljastats.v20i1.7996
Published on 10 Dec 2019.
Peer Reviewed

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