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Titlebook: Empirical Process Techniques for Dependent Data; Herold Dehling,Thomas Mikosch,Michael Sørensen Book 20021st edition Springer Science+Busi

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发表于 2025-3-21 17:07:42 | 显示全部楼层 |阅读模式
书目名称Empirical Process Techniques for Dependent Data
编辑Herold Dehling,Thomas Mikosch,Michael Sørensen
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图书封面Titlebook: Empirical Process Techniques for Dependent Data;  Herold Dehling,Thomas Mikosch,Michael Sørensen Book 20021st edition Springer Science+Busi
描述Empirical process techniques for independent data have been used for many years in statistics and probability theory. These techniques have proved very useful for studying asymptotic properties of parametric as well as non-parametric statistical procedures. Recently, the need to model the dependence structure in data sets from many different subject areas such as finance, insurance, and telecommunications has led to new developments concerning the empirical distribution function and the empirical process for dependent, mostly stationary sequences. This work gives an introduction to this new theory of empirical process techniques, which has so far been scattered in the statistical and probabilistic literature, and surveys the most recent developments in various related fields.Key features: A thorough and comprehensive introduction to the existing theory of empirical process techniques for dependent data * Accessible surveys by leading experts of the most recent developments in various related fields * Examines empirical process techniques for dependent data, useful for studying parametric and non-parametric statistical procedures * Comprehensive bibliographies * An overview of appli
出版日期Book 20021st edition
关键词Excel; Gaussian process; Likelihood; Maxima; Probability theory; Random variable; Rang; applications of sta
版次1
doihttps://doi.org/10.1007/978-1-4612-0099-4
isbn_softcover978-1-4612-6611-2
isbn_ebook978-1-4612-0099-4
copyrightSpringer Science+Business Media New York 2002
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发表于 2025-3-21 22:22:09 | 显示全部楼层
Bernd Antkowiak,Ingolf Cascorbiegularity assumption on the distribution of the innovations distribution for which a weak dependence condition can be easily derived. We apply the theory to derive a weak Donsker invariance principle and the empirical CLT and we present an application to kernel estimates for density and regression functions.
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发表于 2025-3-22 06:24:05 | 显示全部楼层
https://doi.org/10.1007/978-3-662-00437-1shall apply the coupling methods to derive uniform laws of large numbers for the dependent random processes under various types of dependence. We shall also discuss the importance of coupling for obtaining the central limit theorem for strongly mixing sequences.
发表于 2025-3-22 12:10:06 | 显示全部楼层
Die Zukunft des pharmazeutischen Marktes,) of .., ..:.uniformly in .., .., where .. = (.., ..) and .(.) is the marginal probability density. An easy consequence of the reduction principle is the functional CLT for the empirical process. An application of the last result to the change-point problem of the marginal c.d.f. is discussed.
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发表于 2025-3-22 17:18:51 | 显示全部楼层
https://doi.org/10.1007/978-3-7091-7641-2ed to mathematical techniques behind the theory. Although some results presented here are new (bootstrap for Markov chains), this is not a research paper, and the presented proofs do not contain all the details.
发表于 2025-3-22 23:38:32 | 显示全部楼层
Book 20021st editiony useful for studying asymptotic properties of parametric as well as non-parametric statistical procedures. Recently, the need to model the dependence structure in data sets from many different subject areas such as finance, insurance, and telecommunications has led to new developments concerning th
发表于 2025-3-23 04:53:35 | 显示全部楼层
Tail Empirical Processes Under Mixing Conditionsndardized tail quantile function. Moreover, asymptotic normality can be deduced for many estimators of interest in extreme value statistics. Finally, we apply the limit theorems to particular linear and nonlinear time series models.
发表于 2025-3-23 07:07:39 | 显示全部楼层
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