Physical description 
1 online resource (516 pages). 
Series 
Mathematics and Its Applications ; 416 

Mathematics and Its Applications ; ; 416.

Summary 
This book deals with the almost sure asymptotic behaviour of linearly transformed sequences of independent random variables, vectors and elements of topological vector spaces. The main subjects dealing with series of independent random elements on topological vector spaces, and in particular, in sequence spaces, as well as with generalized summability methods which are treated here are strong limit theorems for operatornormed (matrix normed) sums of independent finitedimensional random vectors and their applications; almost sure asymptotic behaviour of realizations of onedimensional and multidimensional Gaussian Markov sequences; various conditions providing almost sure continuity of sample paths of Gaussian Markov processes; and almost sure asymptotic behaviour of solutions of onedimensional and multidimensional stochastic recurrence equations of special interest. <br/> Many topics, especially those related to strong limit theorems for operatornormed sums of independent random vectors, appear in monographic literature for the first time. <br/> <em>Audience:</em> The book is aimed at experts in probability theory, theory of random processes and mathematical statistics who are interested in the almost sure asymptotic behaviour in summability schemes, like operator normed sums and weighted sums, etc. Numerous sections will be of use to those who work in Gaussian processes, stochastic recurrence equations, and probability theory in topological vector spaces. As the exposition of the material is consistent and selfcontained it can also be recommended as a textbook for university courses. 
Other author 
Soln봬sev, S. A. (Serge橠Alekseevich)

Subject 
Limit theorems (Probability theory)


Random variables.


Summability theory.


Limit theorems (Probability theory) 

Random variables. 

Summability theory. 

Electronic books. 
ISBN 
9789401155687 (electronic bk.) 

9401155682 (electronic bk.) 
