Convergence in Skorokhod J-topology for compositions of stochastic processes

A survey on functional limit theorems for compositions of stochastic processes is presented. Applications to stochastic processes with random scaling of time, random sums, extremes with random sample size, generalised exceeding processes, sum- and max-processes with renewal stopping, and shock proce...

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Date:2008
Main Author: Silvestrov, D.S.
Format: Article
Language:English
Published: Інститут математики НАН України 2008
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/4543
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Convergence in Skorokhod J-topology for compositions of stochastic processes / D.S. Silvestrov // Theory of Stochastic Processes. — 2008. — Т. 14 (30), № 1. — С. 126–143. — Бібліогр.: 75 назв.— англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Silvestrov, D.S.
author_facet Silvestrov, D.S.
citation_txt Convergence in Skorokhod J-topology for compositions of stochastic processes / D.S. Silvestrov // Theory of Stochastic Processes. — 2008. — Т. 14 (30), № 1. — С. 126–143. — Бібліогр.: 75 назв.— англ.
collection DSpace DC
description A survey on functional limit theorems for compositions of stochastic processes is presented. Applications to stochastic processes with random scaling of time, random sums, extremes with random sample size, generalised exceeding processes, sum- and max-processes with renewal stopping, and shock processes are discussed.
first_indexed 2025-12-07T15:52:55Z
format Article
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
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language English
last_indexed 2025-12-07T15:52:55Z
publishDate 2008
publisher Інститут математики НАН України
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spelling Silvestrov, D.S.
2009-11-25T11:08:13Z
2009-11-25T11:08:13Z
2008
Convergence in Skorokhod J-topology for compositions of stochastic processes / D.S. Silvestrov // Theory of Stochastic Processes. — 2008. — Т. 14 (30), № 1. — С. 126–143. — Бібліогр.: 75 назв.— англ.
0321-3900
https://nasplib.isofts.kiev.ua/handle/123456789/4543
519.21
A survey on functional limit theorems for compositions of stochastic processes is presented. Applications to stochastic processes with random scaling of time, random sums, extremes with random sample size, generalised exceeding processes, sum- and max-processes with renewal stopping, and shock processes are discussed.
en
Інститут математики НАН України
Convergence in Skorokhod J-topology for compositions of stochastic processes
Article
published earlier
spellingShingle Convergence in Skorokhod J-topology for compositions of stochastic processes
Silvestrov, D.S.
title Convergence in Skorokhod J-topology for compositions of stochastic processes
title_full Convergence in Skorokhod J-topology for compositions of stochastic processes
title_fullStr Convergence in Skorokhod J-topology for compositions of stochastic processes
title_full_unstemmed Convergence in Skorokhod J-topology for compositions of stochastic processes
title_short Convergence in Skorokhod J-topology for compositions of stochastic processes
title_sort convergence in skorokhod j-topology for compositions of stochastic processes
url https://nasplib.isofts.kiev.ua/handle/123456789/4543
work_keys_str_mv AT silvestrovds convergenceinskorokhodjtopologyforcompositionsofstochasticprocesses