Coverart for item
The Resource Limit theorems for multi-indexed sums of random variables, Oleg Klesov, (electronic book)

Limit theorems for multi-indexed sums of random variables, Oleg Klesov, (electronic book)

Label
Limit theorems for multi-indexed sums of random variables
Title
Limit theorems for multi-indexed sums of random variables
Statement of responsibility
Oleg Klesov
Creator
Author
Subject
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 Hajek-Renyi 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
Member of
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 multi-indexed sums of random variables, Oleg Klesov, (electronic book)
Instantiates
Publication
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
10.1007/978-3-662-44388-0
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 multi-indexed sums of random variables, Oleg Klesov, (electronic book)
Publication
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
10.1007/978-3-662-44388-0
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Reproduction note
Electronic resource.
Sound
unknown sound
Specific material designation
remote

Library Locations

Processing Feedback ...