Multiple Statistical Decision Theory: Recent Developments

1 Some Auxiliary Results: Monotonicity Properties of Probability Distributions.- 1.1. Introduction.- 1.2. Ordered Families of Distributions.- 1.3. Probability Integrals of Multivariate Normal Distribution - Dependence on Correlations.- 1.4. Dependence and Association of Random Variables.- 1.5. Majorization in Multivariate Distribution.- 2 Multiple Decision Theory: A General Approach.- 3 Modified Minimax Decision Procedures.- 3.1. Introduction.- 3.2. The Problem of Selecting Good Populations with Respect to A Control.- 3.3. On the Problem of Selecting the Best Population.- 3.4. Essentially Complete Classes of Decision Procedures.- 4 Invariant Decision Procedures.- 4.1. Introduction.- 4.2. Selecting the Best Population.- 5 Robust Selection Procedures: Most Economical Multiple Decision Rules.- 5.1. Introduction.- 5.2. Robust Selection Rules.- 6 Multiple Decision Procedures Based on Tests.- 6.1. Introduction.- 6.2. Conditional Confidence Approach.- 6.3. Multiple Comparison Procedures.- 6.4. Multiple Range Tests.- 6.5. Multistage Comparison Procedures.