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Book Cover
E-book
Author Bulinskiĭ, A. V. (Aleksandr Vadimovich)

Title Limit theorems for associated random fields and related systems / Alexander Bulinski & Alexey Shashkin
Published New Jersey : World Scientific, ©2007

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Description 1 online resource (x, 436 pages)
Series Advanced series on statistical science and applied probability ; v. 10
Advanced series on statistical science & applied probability ; v. 10.
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
Print version record
Subject Random fields.
Limit theorems (Probability theory)
MATHEMATICS -- Probability & Statistics -- Stochastic Processes.
Limit theorems (Probability theory)
Random fields
Form Electronic book
Author Shashkin, A. P. (Alekseĭ Pavlovich)
ISBN 9789812709417
981270941X
1281918792
9781281918796
9786611918798
6611918795