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Testing Statistical Hypotheses

  • Kartonierter Einband
  • 786 Seiten
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This book updates and expands upon the classic graduate text, emphasizing optimality theory for hypothesis testing and confidence ... Weiterlesen
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Beschreibung

This book updates and expands upon the classic graduate text, emphasizing optimality theory for hypothesis testing and confidence sets. The principal additions include a rigorous treatment of large sample optimality, together with the requisite tools.


The Third Edition of Testing Statistical Hypotheses brings it into consonance with the Second Edition of its companion volume on point estimation (Lehmann and Casella, 1998) to which we shall refer as TPE2. We won't here comment on the long history of the book which is recounted in Lehmann (1997) but shall use this Preface to indicate the principal changes from the 2nd Edition. The present volume is divided into two parts. Part I (Chapters 110) treats small-sample theory, while Part II (Chapters 1115) treats large-sample theory. The preface to the 2nd Edition stated that the most important omission is an adequate treatment of optimality paralleling that given for estimation in TPE. We shall here remedy this failure by treating the di?cult topic of asymptotic optimality (in Chapter 13) together with the large-sample tools needed for this purpose (in Chapters 11 and 12). Having developed these tools, we use them in Chapter 14 to give a much fuller treatment of tests of goodness of ?t than was possible in the 2nd Edition, and in Chapter 15 to provide an introduction to the bootstrap and related techniques. Various large-sample considerations that in the Second Edition were discussed in earlier chapters now have been moved to Chapter 11.

Summarizes developments in the field of hypotheses testing

Optimality considerations continue to provide the organizing principle, but are now tempered by a much stronger emphasis on the robustness properties of the resulting procedures

An essential reference for any graduate student in statistics



Autorentext

E.L. Lehmann is Professor of Statistics Emeritus at the University of California, Berkeley. He is a member of the National Academy of Sciences and the American Academy of Arts and Sciences, and the recipient of honorary degrees from the University of Leiden, The Netherlands and the University of Chicago. He is the author of Elements of Large-Sample Theory and (with George Casella) he is also the author of Theory of Point Estimation, Second Edition.

Joseph P. Romano is Professor of Statistics at Stanford University. He is a recipient of a Presidential Young Investigator Award and a Fellow of the Institute of Mathematical Statistics. He has coauthored two other books, Subsampling with Dimitris Politis and Michael Wolf, and Counterexamples in Probability and Statistics with Andrew Siegel.              



Inhalt
The General Decision Problem.- The Probability Background.- Uniformly Most Powerful Tests.- Unbiasedness: Theory and First Applications.- Unbiasedness: Applications to Normal Distributions.- Invariance.- Linear Hypotheses.- The Minimax Principle.- Multiple Testing and Simultaneous Inference.- Conditional Inference.- Basic Large Sample Theory.- Quadratic Mean Differentiable Families.- Large Sample Optimality.- Testing Goodness of Fit.- General Large Sample Methods.

Produktinformationen

Titel: Testing Statistical Hypotheses
Autor:
EAN: 9781441931788
ISBN: 978-1-4419-3178-8
Format: Kartonierter Einband
Herausgeber: Springer Nature EN
Genre: Mathematik
Anzahl Seiten: 786
Gewicht: 1205g
Größe: H235mm x B155mm
Jahr: 2010
Auflage: 3. A.

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