Table of Contents

• Introduction
• The multiple Laplace transformation, functions of several complex variables, and analytic sheaves
• Sufficient statistics and exponential families
• Nuisance parameters. Tests with invariant power functions
• Similar tests and statistics
• Cotest ideals for exponential families
• Wijsman's $D$-method
• Unbiased estimates
• Analytical methods of studying unrandomized tests. Application to the Behrens-Fisher problem
• Randomized homogeneous tests in the Behrens-Fisher problem. Characterization of tests of the Bartlett-Scheffé type
• An unrandomized homogeneous similar test in the Behrens-Fisher problem
• The problem of many small samples
• Appendix
• Supplement. New results in the theory of estimation and testing hypotheses for problems with nuisance parameters
• Bibliography