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Asymptotic Efficiency of a Class of C-Sample Tests (Classic Reprint) - Softcover

 
9781333542085: Asymptotic Efficiency of a Class of C-Sample Tests (Classic Reprint)

Synopsis

This book begins by establishing the foundations of a class of parametric tests for comparing the equality of continuous probability distributions and analyzing possible rejections. The author lays out sufficient conditions for the distribution of these test statistics to be asymptotically normal and derives the limiting distribution of these tests under suitably regular conditions. These results are then used to enable derivation of the asymptotic relative efficiency of these tests to that of the Kruskal-Wallis H test, providing a more robust set of tools for the analysis of continuous probability distributions. The final concept explored is that of the asymptotic efficiency of a normal score test with respect to all translation alternatives. The consistency and power properties of many of these tests are discussed throughout, providing a cohesive historical context for these methods.

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  • PublisherForgotten Books
  • Publication date2024
  • ISBN 10 1333542089
  • ISBN 13 9781333542085
  • BindingPaperback
  • LanguageEnglish
  • Number of pages92

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9780364078112: Asymptotic Efficiency of a Class of C-Sample Tests (Classic Reprint)

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ISBN 10:  0364078111 ISBN 13:  9780364078112
Publisher: Forgotten Books, 2020
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Madan Lal Puri
Published by Forgotten Books, 2024
ISBN 10: 1333542089 ISBN 13: 9781333542085
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Paperback. Condition: New. Print on Demand. This book begins by establishing the foundations of a class of parametric tests for comparing the equality of continuous probability distributions and analyzing possible rejections. The author lays out sufficient conditions for the distribution of these test statistics to be asymptotically normal and derives the limiting distribution of these tests under suitably regular conditions. These results are then used to enable derivation of the asymptotic relative efficiency of these tests to that of the Kruskal-Wallis H test, providing a more robust set of tools for the analysis of continuous probability distributions. The final concept explored is that of the asymptotic efficiency of a normal score test with respect to all translation alternatives. The consistency and power properties of many of these tests are discussed throughout, providing a cohesive historical context for these methods. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781333542085_0

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ISBN 10: 1333542089 ISBN 13: 9781333542085
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Published by Forgotten Books, 2018
ISBN 10: 1333542089 ISBN 13: 9781333542085
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