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Titlebook: Stable Convergence and Stable Limit Theorems; Erich H?usler,Harald Luschgy Book 2015 Springer International Publishing Switzerland 2015 60

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發(fā)表于 2025-3-21 20:01:24 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Stable Convergence and Stable Limit Theorems
編輯Erich H?usler,Harald Luschgy
視頻videohttp://file.papertrans.cn/876/875437/875437.mp4
概述First monograph entirely devoted to the subject of stable convergence.Presents a clear and sound introduction to the field.Includes examples of successful applications and exercise sets with solutions
叢書名稱Probability Theory and Stochastic Modelling
圖書封面Titlebook: Stable Convergence and Stable Limit Theorems;  Erich H?usler,Harald Luschgy Book 2015 Springer International Publishing Switzerland 2015 60
描述The?authors present a concise but complete exposition of the mathematical theory of stable convergence and give various applications in different areas of probability theory and mathematical statistics to illustrate the usefulness of this concept.?Stable convergence holds in many limit theorems of probability theory and statistics – such as the classical central limit theorem – which are usually formulated in terms of convergence in distribution. Originated by Alfred Rényi, the notion of stable convergence is stronger than the classical weak convergence of probability measures. A variety of methods is described which can be used to establish this stronger stable convergence in many limit theorems which were originally formulated only in terms of weak convergence. Naturally, these stronger limit theorems have new and stronger consequences which should not be missed by neglecting the notion of stable convergence. The presentation will be accessible to researchers and advanced students at the master‘s level with a solid knowledge of measure theoretic probability.
出版日期Book 2015
關(guān)鍵詞60-02, 60F05, 60F17; Gauss kernels; limit theorems; mixing convergence of random variables; stable conve
版次1
doihttps://doi.org/10.1007/978-3-319-18329-9
isbn_softcover978-3-319-36519-0
isbn_ebook978-3-319-18329-9Series ISSN 2199-3130 Series E-ISSN 2199-3149
issn_series 2199-3130
copyrightSpringer International Publishing Switzerland 2015
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沙發(fā)
發(fā)表于 2025-3-21 22:43:06 | 只看該作者
Book 2015s of probability theory and mathematical statistics to illustrate the usefulness of this concept.?Stable convergence holds in many limit theorems of probability theory and statistics – such as the classical central limit theorem – which are usually formulated in terms of convergence in distribution.
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Weak Convergence of Markov Kernels,As indicated in the previous chapter, stable convergence of random variables can be seen as suitable convergence of Markov kernels given by conditional distributions. The required facts from the theory of weak convergence of Markov kernels will be presented in this chapter.
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Stable Convergence of Random Variables,Based on the notions and results of Chap.?. we may now introduce and deeply investigate the mode of stable convergence of random variables.
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