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Stochastic integration for set-indexed processes

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Publication:1580503
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DOI10.1007/BF02803521zbMath0973.60058MaRDI QIDQ1580503

Diane Saada, Ely Merzbach

Publication date: 18 November 2001

Published in: Israel Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

stochastic integralset-indexed process


Mathematics Subject Classification ID

Random fields (60G60) Stochastic integrals (60H05)


Related Items (3)

Stochastic inclusions and set-valued stochastic equations with mixed integrals in the plane ⋮ Set-Valued Stochastic Integrals and Equations with Respect to Two-Parameter Martingales ⋮ The set-indexed Itô integral



Cites Work

  • Unnamed Item
  • Multi-linear measure theory and multiple stochastic integration
  • Stochastic integration and \(L^ p-\)theory of semimartingales
  • Predictability and stopping on lattices of sets
  • Doob-Meyer decomposition for set-indexed submartingales
  • A martingale characterization of the set-indexed Brownian motion
  • On the extension of bimeasures
  • [https://portal.mardi4nfdi.de/wiki/Publication:4148564 R�gions d'arr�t, localisations et prolongements de martingales]
  • An Extension Theorem Concerning Frechet Measures
  • To the boundary and back—a numerical study


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