The Resource Limit theorems for multiindexed sums of random variables, Oleg Klesov, (electronic book)
Limit theorems for multiindexed sums of random variables, Oleg Klesov, (electronic book)
Resource Information
The item Limit theorems for multiindexed sums of random variables, Oleg Klesov, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item Limit theorems for multiindexed sums of random variables, Oleg Klesov, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
 Summary
 Presenting the first unified treatment of limit theorems for multiple sums of independent random variables, this volume fills an important gap in the field. Several new results are introduced, even in the classical setting, as well as some new approaches that are simpler than those already established in the literature. In particular, new proofs of the strong law of large numbers and the HajekRenyi inequality are detailed. Applications of the described theory include Gibbs fields, spin glasses, polymer models, image analysis and random shapes. Limit theorems form the backbone of probability theory and statistical theory alike. The theory of multiple sums of random variables is a direct generalization of the classical study of limit theorems, whose importance and wide application in science is unquestionable. However, to date, the subject of multiple sums has only been treated in journals. The results described in this book will be of interest to advanced undergraduates, graduate students and researchers who work on limit theorems in probability theory, the statistical analysis of random fields, as well as in the field of random sets or stochastic geometry. The central topic is also important for statistical theory, developing statistical inferences for random fields, and also has applications to the sciences, including physics and chemistry
 Language
 eng
 Extent
 1 online resource (xviii, 483 pages)
 Isbn
 9783662443873
 Label
 Limit theorems for multiindexed sums of random variables
 Title
 Limit theorems for multiindexed sums of random variables
 Statement of responsibility
 Oleg Klesov
 Language
 eng
 Summary
 Presenting the first unified treatment of limit theorems for multiple sums of independent random variables, this volume fills an important gap in the field. Several new results are introduced, even in the classical setting, as well as some new approaches that are simpler than those already established in the literature. In particular, new proofs of the strong law of large numbers and the HajekRenyi inequality are detailed. Applications of the described theory include Gibbs fields, spin glasses, polymer models, image analysis and random shapes. Limit theorems form the backbone of probability theory and statistical theory alike. The theory of multiple sums of random variables is a direct generalization of the classical study of limit theorems, whose importance and wide application in science is unquestionable. However, to date, the subject of multiple sums has only been treated in journals. The results described in this book will be of interest to advanced undergraduates, graduate students and researchers who work on limit theorems in probability theory, the statistical analysis of random fields, as well as in the field of random sets or stochastic geometry. The central topic is also important for statistical theory, developing statistical inferences for random fields, and also has applications to the sciences, including physics and chemistry
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorName
 Klesov, Oleg
 Dewey number
 519.2
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QA273.67
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Probability Theory and Stochastic Modelling,
 Series volume
 volume 71
 http://library.link/vocab/subjectName

 Limit theorems (Probability theory)
 Random variables
 Mathematics
 Probability Theory and Stochastic Processes
 Statistical Theory and Methods
 MATHEMATICS
 MATHEMATICS
 Label
 Limit theorems for multiindexed sums of random variables, Oleg Klesov, (electronic book)
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 Color
 multicolored
 Control code
 SPR894498669
 Dimensions
 unknown
 Extent
 1 online resource (xviii, 483 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9783662443873
 Level of compression
 unknown
 Other control number
 10.1007/9783662443880
 Other physical details
 illustrations.
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Reproduction note
 Electronic resource.
 Sound
 unknown sound
 Specific material designation
 remote
 Label
 Limit theorems for multiindexed sums of random variables, Oleg Klesov, (electronic book)
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 Color
 multicolored
 Control code
 SPR894498669
 Dimensions
 unknown
 Extent
 1 online resource (xviii, 483 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9783662443873
 Level of compression
 unknown
 Other control number
 10.1007/9783662443880
 Other physical details
 illustrations.
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Reproduction note
 Electronic resource.
 Sound
 unknown sound
 Specific material designation
 remote
Library Links
Embed
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/Limittheoremsformultiindexedsumsofrandom/FdOiFCDKmTI/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/Limittheoremsformultiindexedsumsofrandom/FdOiFCDKmTI/">Limit theorems for multiindexed sums of random variables, Oleg Klesov, (electronic book)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Item Limit theorems for multiindexed sums of random variables, Oleg Klesov, (electronic book)
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/Limittheoremsformultiindexedsumsofrandom/FdOiFCDKmTI/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/Limittheoremsformultiindexedsumsofrandom/FdOiFCDKmTI/">Limit theorems for multiindexed sums of random variables, Oleg Klesov, (electronic book)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>