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Large deviations fo...
Large deviations for multidimensional state-dependent shot noise processes
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- Budhiraja, Amarjit (författare)
- University of North Carolina at Chapel Hill United States
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- Nyquist, Pierre, 1985- (författare)
- Brown University, United States
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(creator_code:org_t)
- Applied Probability Trust, 2015
- 2015
- Engelska.
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Ingår i: Journal of Applied Probability. - : Applied Probability Trust. - 0021-9002 .- 1475-6072. ; 52:4, s. 1097-1114
- Relaterad länk:
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https://urn.kb.se/re...
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visa fler...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- Shot-noise processes are used in applied probability to model a variety of physical systems in, for example, teletraffic theory, insurance and risk theory, and in the engineering sciences. In this paper we prove a large deviation principle for the sample-paths of a general class of multidimensional state-dependent Poisson shot-noise processes. The result covers previously known large deviation results for one-dimensional state-independent shot-noise processes with light tails. We use the weak convergence approach to large deviations, which reduces the proof to establishing the appropriate convergence of certain controlled versions of the original processes together with relevant results on existence and uniqueness.
Ämnesord
- NATURVETENSKAP -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Probability Theory and Statistics (hsv//eng)
Nyckelord
- Large deviations
- point processes
- Poisson random measure
- shot noise
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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