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The Resource Comparison of statistical experiments, Erik Torgersen, (electronic resource)
Comparison of statistical experiments, Erik Torgersen, (electronic resource)
Resource Information
The item Comparison of statistical experiments, Erik Torgersen, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.This item is available to borrow from all library branches.
Resource Information
The item Comparison of statistical experiments, Erik Torgersen, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.
This item is available to borrow from all library branches.
 Summary
 A comprehensive treatment of statistical experiments and an essential reference for mathematical statisticians
 Language

 eng
 eng
 Extent
 1 online resource (698 p.)
 Note
 Description based upon print version of record
 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: λsystems and πsystems of events; References; 2 Convexity; 2.1 Introduction; 2.2 Convexity; 2.3 Convexity in finite dimensional spaces; 2.4 References; 3 Twoperson, zerosum 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. Lspaces and Mspaces; 5.6 Generalized experiments. Transitions; 5.7 The spectrum of an Mspace. Representation of Mspaces and Lspaces; 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 Δsufficient 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 twopoint 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
 Isbn
 9781107093423
 Label
 Comparison of statistical experiments
 Title
 Comparison of statistical experiments
 Statement of responsibility
 Erik Torgersen
 Language

 eng
 eng
 Summary
 A comprehensive treatment of statistical experiments and an essential reference for mathematical statisticians
 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)
 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: λsystems and πsystems of events; References; 2 Convexity; 2.1 Introduction; 2.2 Convexity; 2.3 Convexity in finite dimensional spaces; 2.4 References; 3 Twoperson, zerosum 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. Lspaces and Mspaces; 5.6 Generalized experiments. Transitions; 5.7 The spectrum of an Mspace. Representation of Mspaces and Lspaces; 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 Δsufficient 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 twopoint 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)
 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: λsystems and πsystems of events; References; 2 Convexity; 2.1 Introduction; 2.2 Convexity; 2.3 Convexity in finite dimensional spaces; 2.4 References; 3 Twoperson, zerosum 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. Lspaces and Mspaces; 5.6 Generalized experiments. Transitions; 5.7 The spectrum of an Mspace. Representation of Mspaces and Lspaces; 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 Δsufficient 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 twopoint 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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