Synopsis
Explore the power and reach of nonparametric tests across multiple samples. This rigorous work extends the theory of rank-based tests to the c-sample problem, revealing how a single framework unifies classic methods like Kruskal-Wallis and Freund-Ansari with modern score tests.
In clear, accessible terms, the book develops conditions for joint asymptotic normality of test statistics, derives limiting distributions under varied alternatives, and shows how these tests relate to and generalize well-known procedures. It balances theoretical depth with practical insight, highlighting when and how the c-sample approach achieves efficiency comparable to traditional parametric tests.
- Connections between classic two-sample tests and their multi-sample counterparts.
- A detailed treatment of test statistics built from ranks and order statistics.
- Conditions that guarantee asymptotic normality and the resulting limiting behavior under alternatives.
- Guidance on applying the theory to translate alternatives and assess power.
Ideal for readers with a foundation in statistics who want a deeper, math-grounded understanding of nonparametric methods for comparing multiple populations.
Ideal for researchers and advanced students of statistics seeking a rigorous treatment of nonparametric multi-sample testing and its practical implications.
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Asymptotic Efficiency of a Class of C-Sample Tests (Classic Reprint)
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Paperback. Etat : 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. N° de réf. du vendeur 9781333542085_0
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Asymptotic Efficiency of a Class of CSample Tests Classic Reprint
Vendeur : PBShop.store US, Wood Dale, IL, Etats-Unis
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PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781333542085
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Asymptotic Efficiency of a Class of CSample Tests Classic Reprint
Vendeur : PBShop.store UK, Fairford, GLOS, Royaume-Uni
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PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781333542085
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Expédition depuis Royaume-Uni vers Etats-Unis
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