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Statistical Problems with Nuisance Parameters
About this Title
Ju. V. Linnik
Publication: Translations of Mathematical Monographs
Publication Year:
1968; Volume 20
ISBNs: 978-0-8218-4687-2 (print); 978-1-4704-4438-9 (online)
DOI: https://doi.org/10.1090/mmono/020
MathSciNet review: MR3244206
MSC: Primary 44A60; Secondary 47A57, 47A70
Table of Contents
Front/Back Matter
Chapters
- 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