Description |
1 online resource (x, 436 pages) |
Series |
Advanced series on statistical science and applied probability ; v. 10 |
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Advanced series on statistical science & applied probability ; v. 10.
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Contents |
Random systems with covariance inequalities -- Moment and maximal inequalities -- Central limit theorem -- Almost sure convergence -- Invariance principles -- Law of the iterated logarithm -- Statistical applications -- Integral functionals |
Summary |
This volume is devoted to the study of asymptotic properties of wide classes of stochastic systems 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 |
Bibliography |
Includes bibliographical references (pages 411-430) and indexes |
Notes |
English |
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Print version record |
Subject |
Random fields.
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Limit theorems (Probability theory)
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MATHEMATICS -- Probability & Statistics -- Stochastic Processes.
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Limit theorems (Probability theory)
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Random fields
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Form |
Electronic book
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Author |
Shashkin, A. P. (Alekseĭ Pavlovich)
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ISBN |
9789812709417 |
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981270941X |
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1281918792 |
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9781281918796 |
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9786611918798 |
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6611918795 |
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