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The central limit theorem for the Smoluchovski coagulation model
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Kolokoltsov, V. N. (Vasiliĭ Nikitich) (2010) The central limit theorem for the Smoluchovski coagulation model. Probability Theory and Related Fields, Vol.146 (No.1-2). pp. 87-153. doi:10.1007/s00440-008-0186-2 ISSN 0178-8051.
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Official URL: http://dx.doi.org/10.1007/s00440-008-0186-2
Abstract
The general model of coagulation is considered. For basic classes of unbounded coagulation kernels the central limit theorem (CLT) is obtained for the fluctuations around the dynamic law of large numbers (LLN) described by the Smoluchovski equation. A rather precise rate of convergence is given both for LLN and CLT.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Statistics | ||||
Library of Congress Subject Headings (LCSH): | Coagulation, Central limit theorem, Limit theorems (Probability theory), Jump processes, Markov processes | ||||
Journal or Publication Title: | Probability Theory and Related Fields | ||||
Publisher: | Springer | ||||
ISSN: | 0178-8051 | ||||
Official Date: | January 2010 | ||||
Dates: |
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Volume: | Vol.146 | ||||
Number: | No.1-2 | ||||
Page Range: | pp. 87-153 | ||||
DOI: | 10.1007/s00440-008-0186-2 | ||||
Status: | Peer Reviewed | ||||
Access rights to Published version: | Restricted or Subscription Access |
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