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Processes and Filtrations

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Stochastic Integrals

Part of the book series: Advanced Lectures in Mathematics ((ALM))

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Abstract

A stochastic process on a probability space (Ω, F, ℙ) is a family (Xt)t∈I of random variables on Ω. In this book, the index set I is always a subset of [0, ∞]. The process X may also be viewed as a single function of two variables t and ω. Stopping times and filtrations are introduced in order to deal with measurability questions arising from the interplay between t an ω.

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© 1990 Springer Fachmedien Wiesbaden

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von Weizsäcker, H., Winkler, G. (1990). Processes and Filtrations. In: Stochastic Integrals. Advanced Lectures in Mathematics. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-13923-2_2

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  • DOI: https://doi.org/10.1007/978-3-663-13923-2_2

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-528-06310-8

  • Online ISBN: 978-3-663-13923-2

  • eBook Packages: Springer Book Archive

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