The Resource Normal approximation by Stein's method, Louis H.Y. Chen, Larry Goldstein, QiMan Shao
Normal approximation by Stein's method, Louis H.Y. Chen, Larry Goldstein, QiMan Shao
Resource Information
The item Normal approximation by Stein's method, Louis H.Y. Chen, Larry Goldstein, QiMan Shao represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Normal approximation by Stein's method, Louis H.Y. Chen, Larry Goldstein, QiMan Shao represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 Since its introduction in 1972, Stein's method has offered a completely novel way of evaluating the quality of normal approximations. Through its characterizing equation approach, it is able to provide approximation error bounds in a wide variety of situations, even in the presence of complicated dependence. Use of the method thus opens the door to the analysis of random phenomena arising in areas including statistics, physics, and molecular biology. Though Stein's method for normal approximation is now mature, the literature has so far lacked a complete self contained treatment. This volume contains thorough coverage of the method's fundamentals, includes a large number of recent developments in both theory and applications, and will help accelerate the appreciation, understanding, and use of Stein's method by providing the reader with the tools needed to apply it in new situations. It addresses researchers as well as graduate students in Probability, Statistics and Combinatorics
 Language
 eng
 Extent
 1 online resource (xii, 405 pages).
 Contents

 Preface
 1. Introduction
 2. Fundamentals of Stein's Method
 3. BerryEsseen Bounds for Independent Random Variables
 4.L1̂ Bounds
 5.L1̂ by Bounded Couplings
 6 L1̂: Applications
 7. Nonuniform Bounds for Independent Random Variables
 8. Uniform and Nonuniform Bounds under Local Dependence
 9. Uniform and NonUniform Bounds for Nonlinear Statistics
 10. Moderate Deviations
 11. Multivariate Normal Approximation
 12. Discretized normal approximation
 13. Nonnormal Approximation
 14. Extensions
 References
 Author Index
 Subject Index
 Notation
 Isbn
 9783642150074
 Label
 Normal approximation by Stein's method
 Title
 Normal approximation by Stein's method
 Statement of responsibility
 Louis H.Y. Chen, Larry Goldstein, QiMan Shao
 Language
 eng
 Summary
 Since its introduction in 1972, Stein's method has offered a completely novel way of evaluating the quality of normal approximations. Through its characterizing equation approach, it is able to provide approximation error bounds in a wide variety of situations, even in the presence of complicated dependence. Use of the method thus opens the door to the analysis of random phenomena arising in areas including statistics, physics, and molecular biology. Though Stein's method for normal approximation is now mature, the literature has so far lacked a complete self contained treatment. This volume contains thorough coverage of the method's fundamentals, includes a large number of recent developments in both theory and applications, and will help accelerate the appreciation, understanding, and use of Stein's method by providing the reader with the tools needed to apply it in new situations. It addresses researchers as well as graduate students in Probability, Statistics and Combinatorics
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorDate
 1940
 http://library.link/vocab/creatorName
 Chen, Louis H. Y.
 Dewey number
 519.2/4
 Index
 index present
 Language note
 English
 LC call number
 QA273.6
 LC item number
 .C44 2011
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorDate
 1950
 http://library.link/vocab/relatedWorkOrContributorName

 Goldstein, Larry
 Shao, QiMan
 Series statement
 Probability and its applications
 http://library.link/vocab/subjectName

 Distribution (Probability theory)
 Approximation theory
 Approximation theory
 Distribution (Probability theory)
 Label
 Normal approximation by Stein's method, Louis H.Y. Chen, Larry Goldstein, QiMan Shao
 Bibliography note
 Includes bibliographical references and indexes
 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
 Preface  1. Introduction  2. Fundamentals of Stein's Method  3. BerryEsseen Bounds for Independent Random Variables  4.L1̂ Bounds  5.L1̂ by Bounded Couplings  6 L1̂: Applications  7. Nonuniform Bounds for Independent Random Variables  8. Uniform and Nonuniform Bounds under Local Dependence  9. Uniform and NonUniform Bounds for Nonlinear Statistics  10. Moderate Deviations  11. Multivariate Normal Approximation  12. Discretized normal approximation  13. Nonnormal Approximation  14. Extensions  References  Author Index  Subject Index  Notation
 Control code
 682911856
 Dimensions
 unknown
 Extent
 1 online resource (xii, 405 pages).
 Form of item
 online
 Isbn
 9783642150074
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783642150074
 http://library.link/vocab/ext/overdrive/overdriveId
 9783642150067
 Specific material designation
 remote
 System control number
 (OCoLC)682911856
 Label
 Normal approximation by Stein's method, Louis H.Y. Chen, Larry Goldstein, QiMan Shao
 Bibliography note
 Includes bibliographical references and indexes
 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
 Preface  1. Introduction  2. Fundamentals of Stein's Method  3. BerryEsseen Bounds for Independent Random Variables  4.L1̂ Bounds  5.L1̂ by Bounded Couplings  6 L1̂: Applications  7. Nonuniform Bounds for Independent Random Variables  8. Uniform and Nonuniform Bounds under Local Dependence  9. Uniform and NonUniform Bounds for Nonlinear Statistics  10. Moderate Deviations  11. Multivariate Normal Approximation  12. Discretized normal approximation  13. Nonnormal Approximation  14. Extensions  References  Author Index  Subject Index  Notation
 Control code
 682911856
 Dimensions
 unknown
 Extent
 1 online resource (xii, 405 pages).
 Form of item
 online
 Isbn
 9783642150074
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783642150074
 http://library.link/vocab/ext/overdrive/overdriveId
 9783642150067
 Specific material designation
 remote
 System control number
 (OCoLC)682911856
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/NormalapproximationbySteinsmethodLouis/xtx0VO4VXrk/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/NormalapproximationbySteinsmethodLouis/xtx0VO4VXrk/">Normal approximation by Stein's method, Louis H.Y. Chen, Larry Goldstein, QiMan Shao</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>