Mean value theorems for stochastic integrals

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The distributions of stochastic integrals are approximated by the distributions of stochastic integrals of piece-wise constant processes. The rate of approximation in some negative Sobolev spaces is estimated. Generalizations are given for problems arising in control theory.

Original languageEnglish (US)
Pages (from-to)385-410
Number of pages26
JournalAnnals of Probability
Issue number1
StatePublished - Jan 2001


  • Numerical approximations
  • Stochastic control
  • Stochastic integrals

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