On asymptotic behaviour of probabilities of small deviations for compound Cox processes

We derive logarithmic asymtotics for probabilities of small deviations for compound Cox processes in the space of trajectories. We find conditions under which these asymptotics are the same as those for sums of independent identically distributed random variables and homogeneous processes with indep...

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Bibliographic Details
Date:2008
Main Author: Frolov, A.N.
Format: Article
Language:English
Published: Інститут математики НАН України 2008
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/4548
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:On asymptotic behaviour of probabilities of small deviations for compound Cox processes / A.N. Frolov // Theory of Stochastic Processes. — 2008. — Т. 14 (30), № 2. — С. 19–27. — Бібліогр.: 10 назв.— англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine