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Titlebook: Limit Theorems for Markov Chains and Stochastic Properties of Dynamical Systems by Quasi-Compactness; Hubert Hennion,Lo?c Hervé Book 2001

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發(fā)表于 2025-3-21 18:00:27 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Limit Theorems for Markov Chains and Stochastic Properties of Dynamical Systems by Quasi-Compactness
編輯Hubert Hennion,Lo?c Hervé
視頻videohttp://file.papertrans.cn/587/586163/586163.mp4
概述Includes supplementary material:
叢書名稱Lecture Notes in Mathematics
圖書封面Titlebook: Limit Theorems for Markov Chains and Stochastic Properties of Dynamical Systems by Quasi-Compactness;  Hubert Hennion,Lo?c Hervé Book 2001
描述The usefulness of from the of techniques perturbation theory operators, to kernel for limit theorems for a applied quasi-compact positive Q, obtaining Markov chains for stochastic of or dynamical by describing properties systems, of Perron- Frobenius has been demonstrated in several All use a operator, papers. these works share the features the features that must be same specific general ; used in each stem from the nature of the functional particular case precise space where the of is and from the number of quasi-compactness Q proved eigenvalues of of modulus 1. We here a functional framework for Q give general analytical this method and we the aforementioned behaviour within it. It asymptotic prove is worth that this framework is to allow the unified noticing sufficiently general treatment of all the cases considered in the literature the previously specific ; characters of model translate into the verification of of simple hypotheses every a functional nature. When to Markov kernels or to Perr- applied Lipschitz Frobenius associated with these statements rise operators expanding give maps, to new results and the of known The main clarify proofs already properties. of the deals w
出版日期Book 2001
關(guān)鍵詞Limit theorems; Markov chain; Markov kernel; Probability theory; analysis; dynamical system; mixing; pertub
版次1
doihttps://doi.org/10.1007/b87874
isbn_softcover978-3-540-42415-4
isbn_ebook978-3-540-44623-1Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag Berlin Heidelberg 2001
The information of publication is updating

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書目名稱Limit Theorems for Markov Chains and Stochastic Properties of Dynamical Systems by Quasi-Compactness網(wǎng)絡(luò)公開度學(xué)科排名




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沙發(fā)
發(fā)表于 2025-3-21 22:27:10 | 只看該作者
The Central Limit Theorems For Markov Chains Theorems A, B, C,The concept of quasi-compact operator plays a crucial role in this paper. To define it we introduce some notations which will be used throughout.
板凳
發(fā)表于 2025-3-22 01:02:18 | 只看該作者
地板
發(fā)表于 2025-3-22 06:31:47 | 只看該作者
Renewal Theorem For Markov Chains Theorem D,Let μ be a probability measure amd . a positive measurable function on .. For all Borel sets . in ?, we set .
5#
發(fā)表于 2025-3-22 11:26:03 | 只看該作者
Large Deviations For Markov Chains Theorem E,The context is that of the beginning of Section II.2..The aim of this chapter is to specify, under a centering hypothesis, the asymptotic behavior of the sequence . .[. .>.?]).
6#
發(fā)表于 2025-3-22 13:43:18 | 只看該作者
Ergodic Properties For Markov Chains,In this chapter, we assume that the couple (.) satisfies the conditions (.1),(.2) in Section II.2.
7#
發(fā)表于 2025-3-22 20:55:43 | 只看該作者
Stochastic Properties Of Dynamical Systems Theorems A*, B*, C*, D*, E*,One says that . is a Perron-Frobenius operator associated with τ and ρ. Notice that ρ is .-invariant. Generally, the kernel . is not Markov; when this is the case the probability distribution ρ is τ-invariant. Here is a typical example of this general setting.
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發(fā)表于 2025-3-22 22:42:51 | 只看該作者
9#
發(fā)表于 2025-3-23 04:20:40 | 只看該作者
Proofs Of Some Statements In Probability Theory,To describe the method used in the proof of limit theorems, we treat com- pletely an elementary example.
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發(fā)表于 2025-3-23 05:52:28 | 只看該作者
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