Stable Convergence and Stable Limit Theorems is popular PDF and ePub book, written by Erich Häusler in 2015-06-09, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Stable Convergence and Stable Limit Theorems can be Read Online from any device for your convenience.
Stable Convergence and Stable Limit Theorems Book PDF Summary
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.
Detail Book of Stable Convergence and Stable Limit Theorems PDF
- Author : Erich Häusler
- Release : 09 June 2015
- Publisher : Springer
- ISBN : 9783319183299
- Genre : Mathematics
- Total Page : 231 pages
- Language : English
- PDF File Size : 9,5 Mb
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