Asymptotic Efficiency of Nonparametric Tests

Asymptotic Efficiency of Nonparametric Tests book cover

Asymptotic Efficiency of Nonparametric Tests

Author(s): Yakov Nikitin (Author)

  • Publisher: Cambridge University Press
  • Publication Date: 20 April 2009
  • Edition: 1st
  • Language: English
  • Print length: 296 pages
  • ISBN-10: 0521115922
  • ISBN-13: 9780521115926

Book Description

Making a substantiated choice of the most efficient statistical test is one of the basic problems of statistics. Asymptotic efficiency is an indispensable technique for comparing and ordering statistical tests in large samples. It is especially useful in nonparametric statistics where it is usually necessary to rely on heuristic tests. This monograph presents a unified treatment of the analysis and calculation of the asymptotic efficiencies of nonparametric tests. Powerful new methods are developed to evaluate explicitly different kinds of efficiencies. Of particular interest is the description of domains of the Bahadur local optimality and related characterisation problems based on recent research by the author. Other Russian results are also published here for the first time in English. Researchers, professionals and students in statistics will find this book invaluable.

Editorial Reviews

Review

'It is an excellent book. I believe that every mathematical statistician should have this book in his or her collection … I enjoyed reading this book. I am sure that others will also like it.' Ramalingam Shanmugam, SIAM Reviews

Book Description

A unified treatment that presents powerful new methods to evaluate explicitly different kinds of efficiencies.

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