The Resource Comparison of statistical experiments, Erik Torgersen, (electronic resource)

Comparison of statistical experiments, Erik Torgersen, (electronic resource)

Label
Comparison of statistical experiments
Title
Comparison of statistical experiments
Statement of responsibility
Erik Torgersen
Creator
Subject
Genre
Language
  • eng
  • eng
Summary
A comprehensive treatment of statistical experiments and an essential reference for mathematical statisticians
Member of
Cataloging source
MiAaPQ
http://library.link/vocab/creatorName
Torgersen, Erik N
Dewey number
  • 519.5/42
  • 519.542
Illustrations
illustrations
Index
index present
Language note
English
LC call number
QA279.4
LC item number
.T67 1990
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
  • Encyclopedia of mathematics and its applications
  • Encyclopedia of Mathematics and its Applications
Series volume
v. 36
http://library.link/vocab/subjectName
  • Statistical decision
  • Mathematical statistics
Label
Comparison of statistical experiments, Erik Torgersen, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. [663]-664) and indexes
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
  • Cover; Half Title; Title; Copyright; Dedication; PREFACE; ACKNOWLEDGMENTS; 1 Statistical Experiments within the Measure Theoretical Framework; 1.1 Introduction; 1.2 The measure theoretical framework; 1.3 Derived experiments; 1.4 Some useful functionals of experiments; 1.5 Sufficient algebras of events; 1.6 Appendix: λ-systems and π-systems of events; References; 2 Convexity; 2.1 Introduction; 2.2 Convexity; 2.3 Convexity in finite dimensional spaces; 2.4 References; 3 Two-person, zero-sum games; 3.1 Introduction; 3.2 Values and strategies; 3.3 Coordinate games; 3.4 Bayesian tools
  • 3.5 References4 Statistical decision problems; 4.1 Introduction; 4.2 Decision rules and their risk functions; 4.3 Randomized decision rules; 4.4 Bayes risk; 4.5 Generalized decision rules and transitions; 4.6 References; 5 Vector lattices; 5.1 Introduction; 5.2 Definitions, notation and basic properties; 5.3 Band decomposition of order complete vector lattices; 5.4 The order dual. Order convergence; 5.5 Normed vector lattices. L-spaces and M-spaces; 5.6 Generalized experiments. Transitions; 5.7 The spectrum of an M-space. Representation of M-spaces and L-spaces; 5.8 References; 6 Deficiencies
  • 6.1 Introduction6.2 Deficiencies; 6.3 Equivalent conditions for deficiency; 6.4 The randomization criterion; 6.5 Reduction by invariance; 6.6 References; 7 Equivalence, representations and functionals of experiments; 7.1 Introduction; 7.2 Standard experiments. Functionals of experiments; 7.3 Δ-sufficient algebras of events. Sufficiency and completeness; 7.4 Conical measures and topologies; 7.5 Likelihood experiments; 7.6 References; 8 Comparison of linear models; 8.1 Introduction; 8.2 Comparison based on the Hellinger transform; 8.3 Internal properties
  • 8.4 A relationship between variances of UMVU estimators and affinities for linear normal experiments with known covariances8.5 Deficiencies between linear normal experiments with known covariances; 8.6 Deficiencies between linear normal experiments when the covariances are known except for a common multiplicative scalar; 8.7 References; 9 Majorization and approximate majorization; 9.1 Introduction; 9.2 Equivalent criteria for comparison of families of measures; 9.3 Miscellaneous. Standard measures, comparison for two-point sets, sufficiency
  • 9.4 Local (fixed sample size) comparison of statistical experiments9.5 Comparison of measures. Dilations; 9.6 Application to a problem on probability distributions with given marginals; 9.7 Majorization; 9.8 References; 10 Complements: Further examples, problems and comments; 10.1 Introduction; 10.2 Complements; 10.3 References; LIST OF SYMBOLS; AUTHOR INDEX; Additional references; SUBJECT INDEX
Dimensions
unknown
Extent
1 online resource (698 p.)
Form of item
online
Isbn
9781107093423
Media category
computer
Media type code
c
Specific material designation
remote
System control number
  • (CKB)2550000001105871
  • (EBL)1179166
  • (OCoLC)853360463
  • (SSID)ssj0000877460
  • (PQKBManifestationID)11501342
  • (PQKBTitleCode)TC0000877460
  • (PQKBWorkID)10908158
  • (PQKB)11591431
  • (UkCbUP)CR9780511666353
  • (MiAaPQ)EBC1179166
  • (EXLCZ)992550000001105871
Label
Comparison of statistical experiments, Erik Torgersen, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. [663]-664) and indexes
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
  • Cover; Half Title; Title; Copyright; Dedication; PREFACE; ACKNOWLEDGMENTS; 1 Statistical Experiments within the Measure Theoretical Framework; 1.1 Introduction; 1.2 The measure theoretical framework; 1.3 Derived experiments; 1.4 Some useful functionals of experiments; 1.5 Sufficient algebras of events; 1.6 Appendix: λ-systems and π-systems of events; References; 2 Convexity; 2.1 Introduction; 2.2 Convexity; 2.3 Convexity in finite dimensional spaces; 2.4 References; 3 Two-person, zero-sum games; 3.1 Introduction; 3.2 Values and strategies; 3.3 Coordinate games; 3.4 Bayesian tools
  • 3.5 References4 Statistical decision problems; 4.1 Introduction; 4.2 Decision rules and their risk functions; 4.3 Randomized decision rules; 4.4 Bayes risk; 4.5 Generalized decision rules and transitions; 4.6 References; 5 Vector lattices; 5.1 Introduction; 5.2 Definitions, notation and basic properties; 5.3 Band decomposition of order complete vector lattices; 5.4 The order dual. Order convergence; 5.5 Normed vector lattices. L-spaces and M-spaces; 5.6 Generalized experiments. Transitions; 5.7 The spectrum of an M-space. Representation of M-spaces and L-spaces; 5.8 References; 6 Deficiencies
  • 6.1 Introduction6.2 Deficiencies; 6.3 Equivalent conditions for deficiency; 6.4 The randomization criterion; 6.5 Reduction by invariance; 6.6 References; 7 Equivalence, representations and functionals of experiments; 7.1 Introduction; 7.2 Standard experiments. Functionals of experiments; 7.3 Δ-sufficient algebras of events. Sufficiency and completeness; 7.4 Conical measures and topologies; 7.5 Likelihood experiments; 7.6 References; 8 Comparison of linear models; 8.1 Introduction; 8.2 Comparison based on the Hellinger transform; 8.3 Internal properties
  • 8.4 A relationship between variances of UMVU estimators and affinities for linear normal experiments with known covariances8.5 Deficiencies between linear normal experiments with known covariances; 8.6 Deficiencies between linear normal experiments when the covariances are known except for a common multiplicative scalar; 8.7 References; 9 Majorization and approximate majorization; 9.1 Introduction; 9.2 Equivalent criteria for comparison of families of measures; 9.3 Miscellaneous. Standard measures, comparison for two-point sets, sufficiency
  • 9.4 Local (fixed sample size) comparison of statistical experiments9.5 Comparison of measures. Dilations; 9.6 Application to a problem on probability distributions with given marginals; 9.7 Majorization; 9.8 References; 10 Complements: Further examples, problems and comments; 10.1 Introduction; 10.2 Complements; 10.3 References; LIST OF SYMBOLS; AUTHOR INDEX; Additional references; SUBJECT INDEX
Dimensions
unknown
Extent
1 online resource (698 p.)
Form of item
online
Isbn
9781107093423
Media category
computer
Media type code
c
Specific material designation
remote
System control number
  • (CKB)2550000001105871
  • (EBL)1179166
  • (OCoLC)853360463
  • (SSID)ssj0000877460
  • (PQKBManifestationID)11501342
  • (PQKBTitleCode)TC0000877460
  • (PQKBWorkID)10908158
  • (PQKB)11591431
  • (UkCbUP)CR9780511666353
  • (MiAaPQ)EBC1179166
  • (EXLCZ)992550000001105871

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