Asymptotic evaluation of the Poisson measures for tubes around jump curves

Xavier Bardina; Carles Rovira; Samy Tindel

Applicationes Mathematicae (2002)

  • Volume: 29, Issue: 2, page 145-156
  • ISSN: 1233-7234

Abstract

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We find the asymptotic behavior of P(||X-ϕ|| ≤ ε) when X is the solution of a linear stochastic differential equation driven by a Poisson process and ϕ the solution of a linear differential equation driven by a pure jump function.

How to cite

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Xavier Bardina, Carles Rovira, and Samy Tindel. "Asymptotic evaluation of the Poisson measures for tubes around jump curves." Applicationes Mathematicae 29.2 (2002): 145-156. <http://eudml.org/doc/279771>.

@article{XavierBardina2002,
abstract = {We find the asymptotic behavior of P(||X-ϕ|| ≤ ε) when X is the solution of a linear stochastic differential equation driven by a Poisson process and ϕ the solution of a linear differential equation driven by a pure jump function.},
author = {Xavier Bardina, Carles Rovira, Samy Tindel},
journal = {Applicationes Mathematicae},
keywords = {Onsager-Machlup functionals; Poisson process},
language = {eng},
number = {2},
pages = {145-156},
title = {Asymptotic evaluation of the Poisson measures for tubes around jump curves},
url = {http://eudml.org/doc/279771},
volume = {29},
year = {2002},
}

TY - JOUR
AU - Xavier Bardina
AU - Carles Rovira
AU - Samy Tindel
TI - Asymptotic evaluation of the Poisson measures for tubes around jump curves
JO - Applicationes Mathematicae
PY - 2002
VL - 29
IS - 2
SP - 145
EP - 156
AB - We find the asymptotic behavior of P(||X-ϕ|| ≤ ε) when X is the solution of a linear stochastic differential equation driven by a Poisson process and ϕ the solution of a linear differential equation driven by a pure jump function.
LA - eng
KW - Onsager-Machlup functionals; Poisson process
UR - http://eudml.org/doc/279771
ER -

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