Bayesian Approach to Generalized Normal Distribution under Non-Informative and Informative Priors
Author(s) -
Saima Naqash,
S.P. Ahmad,
Aquil Ahmed
Publication year - 2018
Publication title -
international journal of mathematical sciences and computing
Language(s) - English
Resource type - Journals
eISSN - 2310-9033
pISSN - 2310-9025
DOI - 10.5815/ijmsc.2018.04.02
Subject(s) - prior probability , generalized normal distribution , scale parameter , normal distribution , bayesian probability , distribution (mathematics) , mathematics , computer science , estimation theory , conjugate prior , scale (ratio) , shape parameter , statistics , generalized gamma distribution , bayes estimator , posterior predictive distribution , maximum likelihood , categorical distribution , pattern recognition (psychology) , bayesian linear regression , gamma distribution , artificial intelligence , bayesian inference , mathematical analysis , physics , quantum mechanics
The generalized Normal distribution is obtained from normal distribution by adding a shape parameter to it. This paper is based on the estimation of the shape and scale parameter of generalized Normal distribution by using the maximum likelihood estimation and Bayesian estimation method via Lindley approximation method under Jeffreys prior and informative priors. The objective of this paper is to see which is the suitable prior for the shape and scale parameter of generalized Normal distribution. Simulation study with varying sample sizes, based on MSE, is conducted in R-software for data analysis.
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