Estimation of scale parameter of inverse gaussian distribution under a bayesian framework using different loss functions

In this paper, the Bayesian analysis of scale parameter of inverse Gaussian distribution has been considered. The Bayes estimators along with corresponding risks have been derived under aclass of priors and using various loss functions. The Bayesian credible intervals have been derived or the said parameter. In order topredict the future values of the variable the posterior predictive distributions have been constructed under different priors. A simulation study has been conducted for different parametric values to assess and compare the performance of different estimators.

Keywords:

Bayes estimators , Posterior risks , Posterior predictive distribution , Credible intervals (C.I) ,