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Titlebook: Asymptotics for Associated Random Variables; Paulo Eduardo Oliveira Book 2012 Springer-Verlag Berlin Heidelberg 2012 association.inequalit

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发表于 2025-3-21 18:50:53 | 显示全部楼层 |阅读模式
期刊全称Asymptotics for Associated Random Variables
影响因子2023Paulo Eduardo Oliveira
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发行地址Puts together in an easily accessible way results scattered throughout journals.Includes results on asymptotics for statistical estimators for associated samples.Uses a elementary approach while inclu
图书封面Titlebook: Asymptotics for Associated Random Variables;  Paulo Eduardo Oliveira Book 2012 Springer-Verlag Berlin Heidelberg 2012 association.inequalit
影响因子.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, with particular emphasis on people interested in nonparametric methods. It will also be of inte
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发表于 2025-3-21 21:33:29 | 显示全部楼层
or associated samples.Uses a elementary approach while inclu.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 communit
发表于 2025-3-22 04:17:56 | 显示全部楼层
发表于 2025-3-22 07:23:47 | 显示全部楼层
发表于 2025-3-22 09:01:40 | 显示全部楼层
Gordian Rättich,Kim Clark,Evi Hartmannults, we will find characterizations of convergence rates with respect to the usual supnorm metric between distribution functions. A few applications to statistical estimation problems will be addressed in the final section of this chapter, as done in the previous one.
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发表于 2025-3-22 20:39:38 | 显示全部楼层
Positive Dependence,, highlighting the connections with the order structure of the underlying space. The chapter is concluded with a reference to other types of positive dependence and their relations. A brief discussion on negative dependence notions concludes the chapter.
发表于 2025-3-22 23:22:44 | 显示全部楼层
Book 20121966 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 es
发表于 2025-3-23 03:42:50 | 显示全部楼层
Inequalities,ove convergence results. Sect. . shows that at least the convergence in distribution is concerned with the covariance structure that completely describes the behaviour of associated variables. This chapter is a fundamental one for the remaining text.
发表于 2025-3-23 08:27:00 | 显示全部楼层
Almost Sure Convergence,ery explored theme under association. Here the assumptions on the decay rate of the covariances are much stronger, a behaviour as found for some other dependence structures. The approach and techniques used in this chapter are adapted in the final section to prove almost sure consistency results for
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