松软 发表于 2025-3-25 03:56:05
Empirical Processes Indexed by Classes of Functions,In this chapter, we give new uniform central limit theorems for general empirical processes indexed by classes of sets or classes of functions. In Sect. ., we consider convex sets of functions embedded in spaces of regular functions.原告 发表于 2025-3-25 09:51:53
https://doi.org/10.1007/978-3-642-45479-0 of real-valued random variables. In Sect. ., we give the extension of Ibragimov’s central limit theorem for partial sums of a strongly mixing sequence of bounded random variables to unbounded random variables, due to Doukhan et al. (Annales inst. H. Poincaré Probab. Statist. 30:63–82, 1994).Accessible 发表于 2025-3-25 14:59:57
https://doi.org/10.1007/978-1-84882-023-4ve conditions implying strong mixing in the sense of Rosenblatt (1956) or .-mixing. Here we mainly focus on Markov chains which fail to be .-mixing (we refer to Bradley (1986) for a precise definition of .-mixing). Let us mention that .-mixing essentially needs a spectral gap condition in . for the克制 发表于 2025-3-25 19:39:04
https://doi.org/10.1007/978-3-662-54323-860-01, 60F05, 60F15, 60F17, 60E15, 60G10, 60J10, 62G07; strongly mixing sequences; absolutely regularApraxia 发表于 2025-3-25 22:44:47
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Irreducible Markov Chains,ve conditions implying strong mixing in the sense of Rosenblatt (1956) or .-mixing. Here we mainly focus on Markov chains which fail to be .-mixing (we refer to Bradley (1986) for a precise definition of .-mixing). Let us mention that .-mixing essentially needs a spectral gap condition in . for the收养 发表于 2025-3-26 16:42:53
2199-3130 h translation is an updated and revised edition.Includes sup.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 ab祝贺 发表于 2025-3-26 17:15:23
https://doi.org/10.1007/978-1-84882-023-4e refer to Bradley (1986) for a precise definition of .-mixing). Let us mention that .-mixing essentially needs a spectral gap condition in . for the transition probability kernel. This condition is often too restrictive for the applications in econometric theory or nonparametric statistics.