The Resource Limit theorems for multi-indexed sums of random variables, Oleg Klesov
Limit theorems for multi-indexed sums of random variables, Oleg Klesov
Resource Information
The item Limit theorems for multi-indexed sums of random variables, Oleg Klesov 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 Limit theorems for multi-indexed sums of random variables, Oleg Klesov 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
- 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
- Language
- eng
- Extent
- 1 online resource (xviii, 483 pages)
- Contents
-
- 1. Notation and auxiliary results
- 2. Maximal inequalities for multiple sums
- 3. Weak convergence of multiple sums
- 4. Weak law of large numbers for multiple sums
- 5. Almost sure convergence for multiple series
- 6. Boundedness of multiple series
- 7. Rate of convergence of multiple sums
- 8. Strong law of large numbers for independent non-identically distributed random variables
- 9. Strong law of large numbers for independent identically distributed random variables
- 10. Law of the iterated logarithm
- 11. Renewal theorem for random walks with multidimensional time
- 12. Existence of moments of the supremum of multiple sums and the strong law of large numbers
- 13.Complete convergence
- Isbn
- 9783662443873
- 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
- Subject
-
- Limit theorems (Probability theory)
- MATHEMATICS -- Applied
- MATHEMATICS -- Probability & Statistics | General
- Mathematical Methods in Physics
- Mathematics
- Probability Theory and Stochastic Processes
- Random variables
- Random variables
- Random variables
- Statistical Theory and Methods
- Limit theorems (Probability theory)
- Limit theorems (Probability theory)
- 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
- 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
- Mathematical Methods in Physics
- MATHEMATICS
- MATHEMATICS
- Limit theorems (Probability theory)
- Random variables
- Label
- Limit theorems for multi-indexed sums of random variables, Oleg Klesov
- Antecedent source
- unknown
- 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
- 1. Notation and auxiliary results -- 2. Maximal inequalities for multiple sums -- 3. Weak convergence of multiple sums -- 4. Weak law of large numbers for multiple sums -- 5. Almost sure convergence for multiple series -- 6. Boundedness of multiple series -- 7. Rate of convergence of multiple sums -- 8. Strong law of large numbers for independent non-identically distributed random variables -- 9. Strong law of large numbers for independent identically distributed random variables -- 10. Law of the iterated logarithm -- 11. Renewal theorem for random walks with multidimensional time -- 12. Existence of moments of the supremum of multiple sums and the strong law of large numbers -- 13.Complete convergence
- Control code
- 894498669
- Dimensions
- unknown
- Extent
- 1 online resource (xviii, 483 pages)
- File format
- unknown
- Form of item
- online
- Isbn
- 9783662443873
- Level of compression
- unknown
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other control number
- 10.1007/978-3-662-44388-0
- Other physical details
- illustrations.
- Quality assurance targets
- not applicable
- Reformatting quality
- unknown
- Sound
- unknown sound
- Specific material designation
- remote
- System control number
- (OCoLC)894498669
- Label
- Limit theorems for multi-indexed sums of random variables, Oleg Klesov
- Antecedent source
- unknown
- 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
- 1. Notation and auxiliary results -- 2. Maximal inequalities for multiple sums -- 3. Weak convergence of multiple sums -- 4. Weak law of large numbers for multiple sums -- 5. Almost sure convergence for multiple series -- 6. Boundedness of multiple series -- 7. Rate of convergence of multiple sums -- 8. Strong law of large numbers for independent non-identically distributed random variables -- 9. Strong law of large numbers for independent identically distributed random variables -- 10. Law of the iterated logarithm -- 11. Renewal theorem for random walks with multidimensional time -- 12. Existence of moments of the supremum of multiple sums and the strong law of large numbers -- 13.Complete convergence
- Control code
- 894498669
- Dimensions
- unknown
- Extent
- 1 online resource (xviii, 483 pages)
- File format
- unknown
- Form of item
- online
- Isbn
- 9783662443873
- Level of compression
- unknown
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other control number
- 10.1007/978-3-662-44388-0
- Other physical details
- illustrations.
- Quality assurance targets
- not applicable
- Reformatting quality
- unknown
- Sound
- unknown sound
- Specific material designation
- remote
- System control number
- (OCoLC)894498669
Subject
- Limit theorems (Probability theory)
- MATHEMATICS -- Applied
- MATHEMATICS -- Probability & Statistics | General
- Mathematical Methods in Physics
- Mathematics
- Probability Theory and Stochastic Processes
- Random variables
- Random variables
- Random variables
- Statistical Theory and Methods
- Limit theorems (Probability theory)
- Limit theorems (Probability theory)
Member of
- Probability theory and stochastic modelling, volume 71
- Probability theory and stochastic modelling, volume 71.
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 fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Limit-theorems-for-multi-indexed-sums-of-random/kRoITNbHiCI/" 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/Limit-theorems-for-multi-indexed-sums-of-random/kRoITNbHiCI/">Limit theorems for multi-indexed sums of random variables, Oleg Klesov</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>
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 multi-indexed sums of random variables, Oleg Klesov
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Limit-theorems-for-multi-indexed-sums-of-random/kRoITNbHiCI/" 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/Limit-theorems-for-multi-indexed-sums-of-random/kRoITNbHiCI/">Limit theorems for multi-indexed sums of random variables, Oleg Klesov</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>
