Posterior Estimates of Poisson Distribution Using R Software
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Nov 1, 2012
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Raja Sultan
University of Kashmir, Srinagar, J & K, India
S.P. Ahmad
University of Kashmir, Srinagar, J & K, India
Abstract
The Bayesian estimation of unknown parameter of the Poisson distribution is examined under different priors. The posterior distributions for the unknown parameter of the Poisson distribution are derived using the following priors: uniform, Jeffrey’s, Gamma distribution, Gamma-Chi-square distribution, Gammaexponential distribution and Chi-square-exponential distribution. Numerical and graphical illustrations of the posterior densities of the parameters of interest were conducted using R Software.
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