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The Resource Comparison of statistical experiments, Erik Torgersen

Comparison of statistical experiments, Erik Torgersen

Label
Comparison of statistical experiments
Title
Comparison of statistical experiments
Statement of responsibility
Erik Torgersen
Creator
Subject
Language
eng
Summary
The present work examines the various methods of comparing statistical experiments. It begins by introducing statistical experiments and convex analysis. This chapter is followed by others on game theory, decision theory, and vector lattices, which are a natural framework for studying statistical problems. The notion of deficiency, which measures the difference in information between two experiments, is then introduced. The relation between it and other concepts, such as sufficiency, randomization, distance, ordering, equivalence, completeness and convergence are also explored. The remainder of the book is devoted to applications of the theory to linear models, local comparison of differentiable experiments, majorization, and discussions of topics complementary to the main text.--
Member of
Assigning source
Provided by Publisher
Cataloging source
UKM
http://library.link/vocab/creatorName
Torgersen, Erik N
Illustrations
illustrations
Index
index present
Literary form
non fiction
Nature of contents
bibliography
Series statement
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
Instantiates
Publication
Note
Originally published in 1990
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier.
Content category
text
Content type code
txt
Content type MARC source
rdacontent.
Contents
Preface Acknowledgements 1. Statistical experiments within the measure theoretical framework 2. Convexity 3. Two-person, zero-sum games 4. Statistical decision problems 5. Vector lattices 6. Deficiencies 7. Equivalence, representations and functionals of experiments 8. Comparison of linear models 9. Majorisation and approximate majorisation 10. Complements: Further examples, problems and comments List of symbols Author index Additional references Subject index
Control code
FIEb17805454
Dimensions
25 cm.
Extent
xx, 675 pages
Isbn
9780521102827
Media category
unmediated
Media MARC source
rdamedia.
Media type code
n
System control number
(OCoLC)276648003
Label
Comparison of statistical experiments, Erik Torgersen
Publication
Note
Originally published in 1990
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier.
Content category
text
Content type code
txt
Content type MARC source
rdacontent.
Contents
Preface Acknowledgements 1. Statistical experiments within the measure theoretical framework 2. Convexity 3. Two-person, zero-sum games 4. Statistical decision problems 5. Vector lattices 6. Deficiencies 7. Equivalence, representations and functionals of experiments 8. Comparison of linear models 9. Majorisation and approximate majorisation 10. Complements: Further examples, problems and comments List of symbols Author index Additional references Subject index
Control code
FIEb17805454
Dimensions
25 cm.
Extent
xx, 675 pages
Isbn
9780521102827
Media category
unmediated
Media MARC source
rdamedia.
Media type code
n
System control number
(OCoLC)276648003

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