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Extension of a stochastic integral with respect to cylindrical martingales

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  • Gawarecki, Leszek

Abstract

We extend stochastic integral of Metivier and Pellaumail with respect to cylindrical martingales which is necessary for constructing a Hilbert space-valued diffusion based on Nelson's kinematic theory of stochastic motion. Examples for inadequacy of existing stochastic integrals are provided.

Suggested Citation

  • Gawarecki, Leszek, 1997. "Extension of a stochastic integral with respect to cylindrical martingales," Statistics & Probability Letters, Elsevier, vol. 34(2), pages 103-111, June.
  • Handle: RePEc:eee:stapro:v:34:y:1997:i:2:p:103-111
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