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Random Perturbations of Dynamical Systems

Random Perturbations of Dynamical Systems

Paperback

Series: Grundlehren Der Mathematischen Wissenschaften, Book 260

General MathematicsProbability & Statistics

Currently unavailable to order

ISBN10: 1468401785
ISBN13: 9781468401783
Publisher: Springer
Published: Mar 4 2012
Pages: 328
Weight: 1.06
Height: 0.71 Width: 6.14 Depth: 9.21
Language: English
Asymptotical problems have always played an important role in probability theory. In classical probability theory dealing mainly with sequences of independent variables, theorems of the type of laws of large numbers, theorems of the type of the central limit theorem, and theorems on large deviations constitute a major part of all investigations. In recent years, when random processes have become the main subject of study, asymptotic investigations have continued to playa major role. We can say that in the theory of random processes such investigations play an even greater role than in classical probability theory, because it is apparently impossible to obtain simple exact formulas in problems connected with large classes of random processes. Asymptotical investigations in the theory of random processes include results of the types of both the laws of large numbers and the central limit theorem and, in the past decade, theorems on large deviations. Of course, all these problems have acquired new aspects and new interpretations in the theory of random processes.

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Probability & Statistics