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CITU |
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20230218131000.0 |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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090224s2009 enka b 001 0 eng |
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
LC control number |
2009008345 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9780471496571 (cloth) |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
047149657X (cloth) |
035 ## - SYSTEM CONTROL NUMBER |
System control number |
(OCoLC)ocn276340596 |
041 ## - LANGUAGE CODE |
Language code of text/sound track or separate title |
eng |
050 00 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA279.4 |
Item number |
.P37 2009 |
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
519.5/42 |
Edition number |
22 |
100 1# - MAIN ENTRY--PERSONAL NAME |
Preferred name for the person |
Parmigiani, G. |
Fuller form of name |
(Giovanni) |
245 10 - TITLE STATEMENT |
Title |
Decision theory : |
Remainder of title |
principles and approaches / |
Statement of responsibility, etc |
Giovanni Parmigiani, Lurdes Y. T. Inoue ; with contributions by Hedibert F. Lopes. |
264 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Place of publication, distribution, etc |
Chichester, West Sussex, U.K. ; |
-- |
[Hoboken, N.J.] : |
Name of publisher, distributor, etc |
John Wiley & Sons, |
Date of publication, distribution, etc |
2009. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
1 online resources (xix, 372 pages) : |
Other physical details |
illustrations |
336 ## - CONTENT TYPE |
Content type term |
text |
Content type code |
txt |
Source |
rdacontent |
337 ## - MEDIA TYPE |
Media type term |
computer |
Media type code |
c |
Source |
rdamedia |
338 ## - CARRIER TYPE |
Carrier type term |
online resource |
Carrier type code |
cr |
Source |
rdacarrier |
490 1# - SERIES STATEMENT |
Series statement |
Wiley series in probability and statistics |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc |
Includes bibliographical references (p. [353]-366) and index. |
505 0# - CONTENTS |
Formatted contents note |
Table of contents<br/>Preface.<br/><br/>Acknowledgments.<br/><br/>1 Introduction.<br/><br/>1.1 Controversies.<br/><br/>1.2 A guided tour of decision theory.<br/><br/>Part One: Foundations.<br/><br/>2 Coherence.<br/><br/>2.1 The "Dutch Book" theorem.<br/><br/>2.2 Temporal coherence.<br/><br/>2.3 Scoring rules and the axioms of probabilities.<br/><br/>2.4 Exercises.<br/><br/>3 Utility.<br/><br/>3.1 St. Petersburg paradox.<br/><br/>3.2 Expected utility theory and the theory of means.<br/><br/>3.3 The expected utility principle.<br/><br/>3.4 The von Neumann-Morgenstern representation theorem.<br/><br/>3.5 Allais' criticism.<br/><br/>3.6 Extensions.<br/><br/>3.7 Exercises.<br/><br/>4 Utility in action.<br/><br/>4.1 The "standard gamble".<br/><br/>4.2 Utility of money.<br/><br/>4.3 Utility functions for medical decisions.<br/><br/>4.4 Exercises.<br/><br/>5 Ramsey and Savage.<br/><br/>5.1 Ramsey's theory.<br/><br/>5.2 Savage's theory.<br/><br/>5.3 Allais revisited.<br/><br/>5.4 Ellsberg paradox.<br/><br/>5.5 Exercises.<br/><br/>6 State independence.<br/><br/>6.1 Horse lotteries.<br/><br/>6.2 State-dependent utilities.<br/><br/>6.3 State-independent utilities.<br/><br/>6.4 Anscombe-Aumann representation theorem.<br/><br/>6.5 Exercises.<br/><br/>Part Two Statistical Decision Theory.<br/><br/>7 Decision functions.<br/><br/>7.1 Basic concepts.<br/><br/>7.2 Data-based decisions.<br/><br/>7.3 The travel insurance example.<br/><br/>7.4 Randomized decision rules.<br/><br/>7.5 Classification and hypothesis tests.<br/><br/>7.6 Estimation.<br/><br/>7.7 Minimax-Bayes connections.<br/><br/>7.8 Exercises.<br/><br/>8 Admissibility.<br/><br/>8.1 Admissibility and completeness.<br/><br/>8.2 Admissibility and minimax.<br/><br/>8.3 Admissibility and Bayes.<br/><br/>8.4 Complete classes.<br/><br/>8.5 Using the same ± level across studies with different sample sizes is inadmissible.<br/><br/>8.6 Exercises.<br/><br/>9 Shrinkage.<br/><br/>9.1 The Stein effect.<br/><br/>9.2 Geometric and empirical Bayes heuristics.<br/><br/>9.3 General shrinkage functions.<br/><br/>9.4 Shrinkage with different likelihood and losses.<br/><br/>9.5 Exercises.<br/><br/>10 Scoring rules.<br/><br/><br/>10.1 Betting and forecasting.<br/><br/>10.2 Scoring rules.<br/><br/>10.3 Local scoring rules.<br/><br/>10.4 Calibration and refinement.<br/><br/>10.5 Exercises.<br/><br/>11 Choosing models.<br/><br/>11.1 The "true model" perspective.<br/><br/>11.2 Model elaborations.<br/><br/>11.3 Exercises.<br/><br/>Part Three Optimal Design.<br/><br/>12 Dynamic programming.<br/><br/>12.1 History.<br/><br/>12.2 The travel insurance example revisited.<br/><br/>12.3 Dynamic programming.<br/><br/>12.4 Trading off immediate gains and information.<br/><br/>12.5 Sequential clinical trials.<br/><br/>12.6 Variable selection in multiple regression.<br/><br/>12.7 Computing.<br/><br/>12.8 Exercises.<br/><br/>13 Changes in utility as information.<br/><br/>13.1 Measuring the value of information.<br/><br/>13.2 Examples.<br/><br/>13.3 Lindley information.<br/><br/>13.4 Minimax and the value of information.<br/><br/>13.5 Exercises.<br/><br/>14 Sample size.<br/><br/>14.1 Decision-theoretic approaches to sample size.<br/><br/>14.2 Computing.<br/><br/>14.3 Examples.<br/><br/>14.4 Exercises.<br/><br/>15 Stopping.<br/><br/>15.1 Historical note.<br/><br/>15.2 A motivating example.<br/><br/>15.3 Bayesian optimal stopping.<br/><br/>15.4 Examples.<br/><br/>15.5 Sequential sampling to reduce uncertainty.<br/><br/>15.6 The stopping rule principle.<br/><br/>15.7 Exercises.<br/><br/>Appendix.<br/><br/>A.1 Notation.<br/><br/>A.2 Relations.<br/><br/>A.3 Probability (density) functions of some distributions.<br/><br/>A.4 Conjugate updating.<br/><br/>References.<br/><br/>Index.<br/>Reviews |
520 ## - SUMMARY, ETC. |
Summary, etc |
Decision theory provides a formal framework for making logical choices in the face of uncertainty. Given a set of alternatives, a set of consequences, and a correspondence between those sets, decision theory offers conceptually simple procedures for choice. This book presents an overview of the fundamental concepts and outcomes of rational decision making under uncertainty, highlighting the implications for statistical practice.<br/><br/><br/>The authors have developed a series of self contained chapters focusing on bridging the gaps between the different fields that have contributed to rational decision making and presenting ideas in a unified framework and notation while respecting and highlighting the different and sometimes conflicting perspectives. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Statistical decision. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Axiomatic set theory. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Experimental design. |
655 #0 - INDEX TERM--GENRE/FORM |
Genre/form data or focus term |
Electronic books. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Inoue, Lurdes. |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
Uniform title |
Wiley series in probability and statistics. |
856 ## - ELECTRONIC LOCATION AND ACCESS |
Link text |
Full text available at Wiley Online Library Click here to view |
Uniform Resource Identifier |
https://onlinelibrary.wiley.com/doi/book/10.1002/9780470746684 |
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942 ## - ADDED ENTRY ELEMENTS |
Source of classification or shelving scheme |
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Item type |
EBOOK |