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Statistical Problems with Nuisance Parameters
Ju. V. Linnik

Translations of Mathematical Monographs
1968; 258 pp; softcover
Volume: 20
ISBN-10: 0-8218-4687-6
ISBN-13: 978-0-8218-4687-2
List Price: US$91
Member Price: US$72.80
Order Code: MMONO/20.S
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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
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