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- Silvestrov, D:S.Mälardalens högskola,Stockholms universitet,Matematiska institutionen,mathematical statistics,Institutionen för matematik och fysik (author)
Limit Theorems for Randomly Stopped Stochastic Processes
- BookEnglish2004
Publisher, publication year, extent ...
- London :Springer,2004
- XIV + 398 s.
- printrdacarrier
Numbers
- LIBRIS-ID:oai:DiVA.org:su-45706
- ISBN:185233777X
- https://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-45706URI
- https://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-2962URI
Supplementary language notes
- Language:English
- Summary in:English
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- SwePubSwePub
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Series
- Probability and its Applications
Notes
- The book is devoted to studies of weak limit theorems for randomly stopped stochastic processes and functional limit theorems for compositions of stochastic processes. A survey of basic results related to weak convergence of random variables and stochastic processes, including basic facts concerning the convergence of càdlàg processes in topologies J and U is given. General conditions of weak convergence for randomly stopped stochastic processes and compositions of càdlàg processes are presented. Functional limit theorems about convergence of compositions of càdlàg processes in topologies U and J are given. Applications to random sums, extremes with random sample size, generalised exceeding processes, sum-processes with renewal stopping, accumulation processes, max-processes with renewal stopping, and shock processes are presented. The book also contains an extended bibliography of works in the area.
Subject headings and genre
- NATURVETENSKAP Matematik Sannolikhetsteori och statistik hsv//swe
- NATURAL SCIENCES Mathematics Probability Theory and Statistics hsv//eng
- NATURVETENSKAP Matematik hsv//swe
- NATURAL SCIENCES Mathematics hsv//eng
- Mathematical statistics
- Matematisk statistik
- matematisk statistik
- Mathematical Statistics
- limit theore
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- Stockholms universitetMatematiska institutionen (creator_code:org_t)
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