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The Resource Asymptotics for associated random variables, Paulo Eduardo Oliveira

Asymptotics for associated random variables, Paulo Eduardo Oliveira

Label
Asymptotics for associated random variables
Title
Asymptotics for associated random variables
Statement of responsibility
Paulo Eduardo Oliveira
Creator
Subject
Language
eng
Summary
The book concerns the notion of association in probability and statistics. Association and some other positive dependence notions were introduced in 1966 and 1967 but received little attention from the probabilistic and statistics community. The interest in these dependence notions increased in the last 15 to 20 years, and many asymptotic results were proved and improved. Despite this increased interest, characterizations and results remained essentially scattered in the literature published in different journals. The goal of this book is to bring together the bulk of these results, presenting the theory in a unified way, explaining relations and implications of the results. It will present basic definitions and characterizations, followed by a collection of relevant inequalities. These are then applied to characterize almost sure and weak convergence of sequences of associated variables. It will also cover applications of positive dependence to the characterization of asymptotic results in nonparametric statistics. The book is directed towards researchers in probability and statistics, withparticular emphasis on people interested in nonparametric methods. It will also be of interest to graduate students in those areas. The book could also be used as a reference on association in a course covering dependent variables and their asymptotics. As prerequisite, readers should have knowledge of basic probability on the reals and on metric spaces. Some acquaintance with the asymptotics of random functions, such us empirical processes and partial sums processes, is useful but not essential
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Oliveira, Paulo Eduardo
Dewey number
519.2/3
Index
index present
LC call number
QA273.5
LC item number
.O45 2012
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
NLM call number
Online Book
http://library.link/vocab/subjectName
  • Random variables
  • Asymptotes
  • Statistics as Topic
  • MATHEMATICS
  • MATHEMATICS
  • Asymptotes
  • Random variables
Label
Asymptotics for associated random variables, Paulo Eduardo Oliveira
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 187-191) 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
Positive Dependence -- Inequalities -- Almost Sure Convergence -- Convergence in Distribution -- Convergence in Distribution -- Functional Results -- Appendices A General Iinequalities -- B General Results on Large -- C Miscellaneous -- References -- Index
Control code
773812727
Dimensions
unknown
Extent
1 online resource (x, 194 pages)
File format
unknown
Form of item
online
Isbn
9783642255328
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-642-25532-8
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)773812727
Label
Asymptotics for associated random variables, Paulo Eduardo Oliveira
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 187-191) 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
Positive Dependence -- Inequalities -- Almost Sure Convergence -- Convergence in Distribution -- Convergence in Distribution -- Functional Results -- Appendices A General Iinequalities -- B General Results on Large -- C Miscellaneous -- References -- Index
Control code
773812727
Dimensions
unknown
Extent
1 online resource (x, 194 pages)
File format
unknown
Form of item
online
Isbn
9783642255328
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-642-25532-8
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)773812727

Library Locations

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      1020 Lowry Street, Columbia, MO, 65201, US
      38.944491 -92.326012
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