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Dr. P.R. Vittal's Mathematical Statistics , published by Margham Publications

Introduction

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7. Decision Theory and Bayesian Perspective

Decision theory formalizes inference as choosing an action (a) to minimize expected loss (E[L(\theta,a)]). In the Bayesian paradigm, the loss is averaged with respect to the posterior distribution, leading to the Bayes rule. The posterior predictive distribution also enables model checking and predictive inference. Dr. P.R. Vittal's Mathematical Statistics