Read Limit Theorems for Associated Random Fields and Related Systems. Advanced Series on Statistical Science & Applied Probability, Volume 10.

Limit Theorems for Associated Random Fields and Related Systems. Advanced Series on Statistical Science & Applied Probability, Volume 10.

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Description:This volume is devoted to the study of asymptotic properties of wide classes of stochastic models arising in mathematical statistics, percolation theory, statistical physics and reliability theory. Attention is paid not only to positive and negative associations introduced in the pioneering papers by Harris, Lehmann, Esary, Proschan, Walkup, Fortuin, Kasteleyn and Ginibre, but also to new and more general dependence conditions. Naturally, this scope comprises families of independent real-valued random variables. A variety of important results and examples of Markov processes, random measures, stable distributions, Ising ferromagnets, interacting particle systems, stochastic differential equations, random graphs and other models are provided.For such random systems, it is worthwhile to establish principal limit theorems of the modern probability theory (central limit theorem for random fields, weak and strong invariance principles, functional law of the iterated logarithm etc.) and discuss their applications. Parts of the text are based on lectures delivered by the authors at the Moscow State University. For the sake of readers' convenience, some auxiliary results are also included, some of them in the Appendix (e.g. the classical Hoeffding lemma, basic electric current theory etc.).We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Limit Theorems for Associated Random Fields and Related Systems. Advanced Series on Statistical Science & Applied Probability, Volume 10.. To get started finding Limit Theorems for Associated Random Fields and Related Systems. Advanced Series on Statistical Science & Applied Probability, Volume 10., you are right to find our website which has a comprehensive collection of manuals listed.
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Pages: 436

Format: PDF, EPUB & Kindle Edition

Publisher: World Scientific Publishing Company

Release: 2010

ISBN: 1281918792

Description: This volume is devoted to the study of asymptotic properties of wide classes of stochastic models arising in mathematical statistics, percolation theory, statistical physics and reliability theory. Attention is paid not only to positive and negative associations introduced in the pioneering papers by Harris, Lehmann, Esary, Proschan, Walkup, Fortuin, Kasteleyn and Ginibre, but also to new and more general dependence conditions. Naturally, this scope comprises families of independent real-valued random variables. A variety of important results and examples of Markov processes, random measures, stable distributions, Ising ferromagnets, interacting particle systems, stochastic differential equations, random graphs and other models are provided.For such random systems, it is worthwhile to establish principal limit theorems of the modern probability theory (central limit theorem for random fields, weak and strong invariance principles, functional law of the iterated logarithm etc.) and discuss their applications. Parts of the text are based on lectures delivered by the authors at the Moscow State University. For the sake of readers' convenience, some auxiliary results are also included, some of them in the Appendix (e.g. the classical Hoeffding lemma, basic electric current theory etc.).We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Limit Theorems for Associated Random Fields and Related Systems. Advanced Series on Statistical Science & Applied Probability, Volume 10.. To get started finding Limit Theorems for Associated Random Fields and Related Systems. Advanced Series on Statistical Science & Applied Probability, Volume 10., you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Limit Theorems for Associated Random Fields and Related Systems. Advanced Series on Statistical Science & Applied Probability, Volume 10.

Limit Theorems for Associated Random Fields and Related Systems. Advanced Series on Statistical Science & Applied Probability, Volume 10.

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