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Worthy martingales and integrators

Author

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  • Merzbach, Ely
  • Zakai, Moshe

Abstract

The class of worthy martingales parameterized by time and a general state space was introduced by Walsh (Lecture Notes in Math. No. 1180, 1986). It serves as a class of L2-stochastic integrators which seem natural for modelling the driving force in stochastic partial differential equations. Here we extend this class and show that this extension yields the most general class of L2-martingale integrators.

Suggested Citation

  • Merzbach, Ely & Zakai, Moshe, 1993. "Worthy martingales and integrators," Statistics & Probability Letters, Elsevier, vol. 16(5), pages 391-395, April.
  • Handle: RePEc:eee:stapro:v:16:y:1993:i:5:p:391-395
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