Asymptotic Methods In Statistical Decision Theory

Experiments--decision spaces -- Some results form decision theory: deficiencies -- Likelihood ratios and conical measures -- Some basic inequalities -- Sufficiency and insufficiency -- Domination, compactness, contiguity -- Some limit theorems -- Invariance properties -- Infinitely divisible, Gaussian, and Poisson experiments -- Asymptotically Gaussian experiments: local theory -- Asymptotic normality--global -- Posterior distributions and Bayes solutions -- An approximation theorem for certain sequential experiments -- Approximation by exponential families -- Sums of independent random variables -- Independent observations -- Independent identically distributed observations -- Appendix: Results from classical analysis.