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Deviations bounds and conditional principles for thin sets

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  • Cattiaux, Patrick
  • Gozlan, Nathael

Abstract

The aim of this paper is to use non-asymptotic bounds for the probability of rare events in the Sanov theorem, in order to study the asymptotics in conditional limit theorems (Gibbs conditioning principle for thin sets). Applications to stochastic mechanics and calibration problems for diffusion processes are discussed.

Suggested Citation

  • Cattiaux, Patrick & Gozlan, Nathael, 2007. "Deviations bounds and conditional principles for thin sets," Stochastic Processes and their Applications, Elsevier, vol. 117(2), pages 221-250, February.
    • Handle: RePEc:eee:spapps:v:117:y:2007:i:2:p:221-250
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    References listed on IDEAS

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    1. Marco Avellaneda & Craig Friedman & Richard Holmes & Dominick Samperi, 1997. "Calibrating volatility surfaces via relative-entropy minimization," Applied Mathematical Finance, Taylor & Francis Journals, vol. 4(1), pages 37-64.
    2. Yurinskii, V. V., 1976. "Exponential inequalities for sums of random vectors," Journal of Multivariate Analysis, Elsevier, vol. 6(4), pages 473-499, December.
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