Statistical Decision Theory

Code: MA594 | L-T-P-C: 3-0-0-6

Prerequisites: MA592 Probability and Statistical Inference

Decision functions, Risk functions, Utility and subjective probability, Randomization, Optimal decision rules. Admissibility and completeness, Existence of Bayes decision rules, Existence of a minimal complete class, Essential completeness of the class of nonrandomized rules. The minimax theorem. Invariant statistical decision problems. Multiple decision problems. Sequential Decision problems.

Texts:

1. J. O. Berger, Statistical Decision Theory: Foundations, Concepts and Methods, Springer Verlag, 1980.
2. T. S. Ferguson, Mathematical Statistics, Academic Press, 1967.