Coverart for item
The Resource Asymptotic theory of statistics and probability, Anirban DasGupta

Asymptotic theory of statistics and probability, Anirban DasGupta

Label
Asymptotic theory of statistics and probability
Title
Asymptotic theory of statistics and probability
Statement of responsibility
Anirban DasGupta
Creator
Subject
Language
eng
Summary
"This book is an encyclopedic treatment of classic as well as contemporary large sample theory, dealing with both statistical problems and probabilistic issues and tools. It is written in an extremely lucid style, with an emphasis on the conceptual discussion of the importance of a problem and the impact and relevance of the theorems. The book has 34 chapters over a wide range of topics, nearly 600 exercises for practice and instruction, and another 300 worked out examples. It also includes a large compendium of 300 useful inequalities on probability, linear algebra, and analysis that are collected together from numerous sources, as an invaluable reference for researchers in statistics, probability, and mathematics." "It can be used as a graduate text, as a versatile research reference, as a source for independent reading on a wide assembly of topics, and as a window to learning the latest developments in contemporary topics. The book is unique in its detailed coverage of fundamental topics such as central limit theorems in numerous setups, likelihood based methods, goodness of fit, higher order asymptotics, as well as of the most modern topics such as the bootstrap, dependent data, Bayesian asymptotics, nonparametric density estimation, mixture models, and multiple testing and false discovery. It provides extensive bibliographic references on all topics that include very recent publications."--Jacket
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
DasGupta, Anirban
Dewey number
519.5
Illustrations
illustrations
Index
index present
Language note
English
LC call number
QA276
LC item number
.D3254 2008eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Springer texts in statistics
http://library.link/vocab/subjectName
  • Mathematical statistics
  • Mathematical statistics
  • Mathematical statistics
Label
Asymptotic theory of statistics and probability, Anirban DasGupta
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Basic Convergence Concepts and Theorems -- Metrics, Information Theory, Convergence, and Poisson Approximations -- More General Weak and Strong Laws and the Delta Theorem -- Transformations -- More General Clts -- Moment Convergence and Uniform Integrability -- Sample Percentiles and Order Statistics -- Sample Extremes -- Central Limit theorems for Dependent Sequences -- Central Limit Theorem for Markov Chains -- Accuracy of Clts -- Invariance Principles -- Edgeworth Expansions and Cumulants -- Saddlepoint Approximations -- U-Statistics -- Maximum Likelihood Estimates -- M Estimates -- the Trimmed Mean -- Multivariate Location Parameter and Multivariate Medians -- Bayes Procedures and Posterior Distributions -- Testing Problems -- Asymptotic Efficiency in Testing -- Some General Large Deviation Results -- Classical Nonparametrics -- Two-Sample Problems -- Goodness of Fit -- Chi-Square Tests for Goodness of Fit -- Goodness of Fit With Estimated Parameters -- The Bootstrap -- Jackknife -- Permutation Tests -- Density Estimation -- Mixture Models and Nonparametric Deconvolution -- High Dimensional Inference and False Discovery
Control code
233972393
Dimensions
unknown
Extent
1 online resource (xxvii, 722 pages)
Form of item
online
Isbn
9780387759715
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-0-387-75971-5
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
978-0-387-75970-8
Specific material designation
remote
System control number
(OCoLC)233972393
Label
Asymptotic theory of statistics and probability, Anirban DasGupta
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Basic Convergence Concepts and Theorems -- Metrics, Information Theory, Convergence, and Poisson Approximations -- More General Weak and Strong Laws and the Delta Theorem -- Transformations -- More General Clts -- Moment Convergence and Uniform Integrability -- Sample Percentiles and Order Statistics -- Sample Extremes -- Central Limit theorems for Dependent Sequences -- Central Limit Theorem for Markov Chains -- Accuracy of Clts -- Invariance Principles -- Edgeworth Expansions and Cumulants -- Saddlepoint Approximations -- U-Statistics -- Maximum Likelihood Estimates -- M Estimates -- the Trimmed Mean -- Multivariate Location Parameter and Multivariate Medians -- Bayes Procedures and Posterior Distributions -- Testing Problems -- Asymptotic Efficiency in Testing -- Some General Large Deviation Results -- Classical Nonparametrics -- Two-Sample Problems -- Goodness of Fit -- Chi-Square Tests for Goodness of Fit -- Goodness of Fit With Estimated Parameters -- The Bootstrap -- Jackknife -- Permutation Tests -- Density Estimation -- Mixture Models and Nonparametric Deconvolution -- High Dimensional Inference and False Discovery
Control code
233972393
Dimensions
unknown
Extent
1 online resource (xxvii, 722 pages)
Form of item
online
Isbn
9780387759715
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-0-387-75971-5
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
978-0-387-75970-8
Specific material designation
remote
System control number
(OCoLC)233972393

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      38.944491 -92.326012
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