عنوان

Asymptotic Behaviour of Linearly Transformed Sums of Random Variables

شابک

9789401063463

شابک

9789401155687

شماره

b408926

عنوان اصلي

Asymptotic Behaviour of Linearly Transformed Sums of Random Variables

نام عام مواد

[Book]

نام نخستين پديدآور

by Valery Buldygin, Serguei Solntsev.

محل نشرو پخش و غیره

Dordrecht :

نام ناشر، پخش کننده و غيره

Imprint: Springer,

تاریخ نشرو بخش و غیره

1997.

عنوان فروست

Mathematics and Its Applications ;

مشخصه جلد

416

متن يادداشت

I Random series and linear transformations of sequences of independent random elements -- 0 Random elements and their convergence (preliminary notions) -- 1 Series of independent random elements -- 2 Linear transformations of independent random elements and series in sequence spaces -- II Limit theorems for operator-normed sums of independent random vectors and their applications -- 3 Operator-normed sums of independent random vectors -- 4 Operator-normed sums of independent identically distributed random vectors -- 5 Asymptotic properties of Gaussian Markov sequences -- 6 Continuity of sample paths of Gaussian Markov processes -- 7 Asymptotic properties of recurrent random sequences -- 8 The interplay between strong and weak limit theorems for sums of independent random variables -- Comments -- Subject indcx -- List of Notations.

بدون عنوان

0

متن يادداشت

Limit theorems for random sequences may conventionally be divided into two large parts, one of them dealing with convergence of distributions (weak limit theorems) and the other, with almost sure convergence, that is to say, with asymptotic prop erties of almost all sample paths of the sequences involved (strong limit theorems). Although either of these directions is closely related to another one, each of them has its own range of specific problems, as well as the own methodology for solving the underlying problems. This book is devoted to the second of the above mentioned lines, which means that we study asymptotic behaviour of almost all sample paths of linearly transformed sums of independent random variables, vectors, and elements taking values in topological vector spaces. In the classical works of P.Levy, A.Ya.Khintchine, A.N.Kolmogorov, P.Hartman, A.Wintner, W.Feller, Yu.V.Prokhorov, and M.Loeve, the theory of almost sure asymptotic behaviour of increasing scalar-normed sums of independent random vari ables was constructed. This theory not only provides conditions of the almost sure convergence of series of independent random variables, but also studies different ver sions of the strong law of large numbers and the law of the iterated logarithm. One should point out that, even in this traditional framework, there are still problems which remain open, while many definitive results have been obtained quite recently.

شماره استاندارد بين المللي کتاب و موسيقي

9789401063463

عنوان

Springer eBooks

موضوع مستند نشده

Distribution (Probability theory).

موضوع مستند نشده

Mathematics.

موضوع مستند نشده

Sequences (Mathematics).

موضوع مستند نشده

Statistics.

موضوع مستند نشده

Systems theory.

مستند نام اشخاص تاييد نشده

Buldygin, Valery.

مستند نام اشخاص تاييد نشده

Solntsev, Serguei.

مستند نام تنالگان تاييد نشده

SpringerLink (Online service)

تاريخ عمليات

20190301074400.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y