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Titlebook: Asymptotic Theory of Weakly Dependent Random Processes; Emmanuel Rio Book 2017 Springer-Verlag GmbH Germany 2017 60-01, 60F05, 60F15, 60F1

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樓主
發(fā)表于 2025-3-21 17:16:55 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱Asymptotic Theory of Weakly Dependent Random Processes
影響因子2023Emmanuel Rio
視頻videohttp://file.papertrans.cn/164/163841/163841.mp4
發(fā)行地址Each chapter ends with a set of exercises.Provides a detailed exposition of optimal asymptotics results for strongly mixing sequences.English translation is an updated and revised edition.Includes sup
學(xué)科分類Probability Theory and Stochastic Modelling
圖書封面Titlebook: Asymptotic Theory of Weakly Dependent Random Processes;  Emmanuel Rio Book 2017 Springer-Verlag GmbH Germany 2017 60-01, 60F05, 60F15, 60F1
影響因子.Presenting tools to aid understanding of asymptotic theory and weakly dependent processes, this book is devoted to inequalities and limit theorems for sequences of random variables that are strongly mixing in the sense of Rosenblatt, or absolutely regular...The first chapter introduces covariance inequalities under strong mixing or absolute regularity. These covariance inequalities are applied in Chapters 2, 3 and 4 to moment inequalities, rates of convergence in the strong law, and central limit theorems. Chapter 5 concerns coupling. In Chapter 6 new deviation inequalities and new moment inequalities for partial sums via the coupling lemmas of Chapter 5 are derived and applied to the bounded law of the iterated logarithm. Chapters 7 and 8 deal with the theory of empirical processes under weak dependence. Lastly, Chapter 9 describes links between ergodicity, return times and rates of mixing in the case of irreducible Markov chains. Each chapter ends with a set of exercises..The book is an updated and extended translation of the French edition entitled "Théorie asymptotique des processus aléatoires faiblement dépendants" (Springer, 2000). It will be useful for students and research
Pindex Book 2017
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沙發(fā)
發(fā)表于 2025-3-21 23:46:34 | 只看該作者
2199-3130 The book is an updated and extended translation of the French edition entitled "Théorie asymptotique des processus aléatoires faiblement dépendants" (Springer, 2000). It will be useful for students and research978-3-662-57191-0978-3-662-54323-8Series ISSN 2199-3130 Series E-ISSN 2199-3149
板凳
發(fā)表于 2025-3-22 01:34:08 | 只看該作者
Book 2017xing in the case of irreducible Markov chains. Each chapter ends with a set of exercises..The book is an updated and extended translation of the French edition entitled "Théorie asymptotique des processus aléatoires faiblement dépendants" (Springer, 2000). It will be useful for students and research
地板
發(fā)表于 2025-3-22 06:21:14 | 只看該作者
Asymptotic Theory of Weakly Dependent Random Processes978-3-662-54323-8Series ISSN 2199-3130 Series E-ISSN 2199-3149
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發(fā)表于 2025-3-22 16:15:45 | 只看該作者
Emmanuel RioEach chapter ends with a set of exercises.Provides a detailed exposition of optimal asymptotics results for strongly mixing sequences.English translation is an updated and revised edition.Includes sup
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https://doi.org/10.1007/978-3-642-97294-2In this chapter, we start by giving upper bounds for algebraic moments of partial sums from a strongly mixing sequence. These inequalities are similar to Rosenthal’s inequalities (Rosenthal, Israel J Math, 8:273–303, 1970) concerning moments of sums of independent random variables.
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發(fā)表于 2025-3-23 09:37:26 | 只看該作者
Extinction and Long-Time Relaxation,In this chapter, we are interested in extensions of the classical maximal inequalities of Kolmogorov and Doob to weakly dependent sequences. Here we adapt previously known tools to the context of weakly dependent sequences. In Sect.?., we give a maximal inequality for second-order moments of the maximum of partial sums.
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