BAYESIAN INFERENCE ABOUT THE ESTIMATION AND CREDIBLE INTERVALS FOR A CONTINUOUS DISTRIBUTION UNDER BOUNDED LOSS FUNCTION

Isha Gupta; Rahul Gupta

Volume : V, Issue : IX, September - 2016

BAYESIAN INFERENCE ABOUT THE ESTIMATION AND CREDIBLE INTERVALS FOR A CONTINUOUS DISTRIBUTION UNDER BOUNDED LOSS FUNCTION

Isha Gupta, Rahul Gupta

Abstract :

In this paper, Bayes estimate of scale parameter of Gamma distribution is obtained using Informative prior distribution under a Bounded loss function, named Reflected gamma loss function and also Minimum Variance Unbiased estimator is obtained. Bayesian credible interval and Confidence interval is also constructed for the scale parameter of Gamma distribution. Comparisons are made between these estimators using Matlab software.