争吵加
发表于 2025-3-23 10:28:35
https://doi.org/10.1007/978-3-642-45479-0One of the most popular techniques to obtain limit theorems for dependent processes is to replace the initial sequence by a sequence with finite range dependence.
领先
发表于 2025-3-23 16:46:52
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Endoscope
发表于 2025-3-23 20:04:06
David M. Williams,Malte C. EbachIn this chapter we are interested in functional limit theorems for the empirical distribution function associated to a stationary and strongly mixing sequence of random variables with values in ..
外面
发表于 2025-3-23 22:37:07
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Alcove
发表于 2025-3-24 05:07:20
The Variance of Partial Sums,In order to study the deviation and the limiting distribution of a partial sum of real-valued random variables, one of the main steps is to study the variance of this sum.
Etching
发表于 2025-3-24 09:58:31
Algebraic Moments, Elementary Exponential Inequalities,In 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.
Nonporous
发表于 2025-3-24 11:44:38
Maximal Inequalities and Strong Laws,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.
不爱防注射
发表于 2025-3-24 16:28:53
Mixing and Coupling,One of the most popular techniques to obtain limit theorems for dependent processes is to replace the initial sequence by a sequence with finite range dependence.
闲荡
发表于 2025-3-24 19:04:11
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bromide
发表于 2025-3-25 00:05:13
Empirical Distribution Functions,In this chapter we are interested in functional limit theorems for the empirical distribution function associated to a stationary and strongly mixing sequence of random variables with values in ..