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Conditional Calculus on Poisson Space and Enlargement of Filtration

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Publication:4795546
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DOI10.1081/SAP-120017538zbMath1027.60054MaRDI QIDQ4795546

Mounir Mensi, Nicolas Privault

Publication date: 24 February 2003

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)


zbMATH Keywords

Poisson processenlargement of filtrationClark formulaconditional densities


Mathematics Subject Classification ID

Stochastic calculus of variations and the Malliavin calculus (60H07)


Related Items

Enlargement of filtration on Poisson space: a Malliavin calculus approach



Cites Work

  • Semi-martingales et grossissement d'une filtration
  • Dirichlet forms and analysis on Wiener space
  • Analysis and geometry on configuration spaces
  • Explicit stochastic analysis of Brownian motion and point measures on Riemannian manifolds
  • A transfer principle from Wiener to Poisson space and applications
  • On the existence of smooth densities for jump processes
  • Enlargement of the Wiener filtration by an absolutely continuous random variable via Malliavin's calculus
  • Incomplete markets with jumps and informed agents
  • Chaotic and variational calculus in discrete and continuous time for the poisson process
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