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Martingales and Related Processes: Discrete Time

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Statistics of Random Processes

Part of the book series: Applications of Mathematics ((SMAP,volume 5))

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Abstract

Let (Ω, F, P) be a probability space, and let.F 1F 2 ⊆ ... ⊆ F N F be a nondecreasing family of sub-σ-algebras of F.

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Bibliography

Notes and References. 1

  1. Shiryaev, A.N. (1996): Probability, 2nd edn. Springer-Verlag, Berlin Heidelberg New York

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  2. Doob, J.L. (1954): Stochastic Processes. Wiley, New York

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  3. Meyer, P.A. (1966): Probabilités et Potentiel. Hermann, Paris

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  4. Neveu, J. (1975): Discrete Parameter Martingales. North-Holland, Amsterdam

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  5. Gikhman, I.I. and Skorokhod, A.V. (1974): Theory of Random Processes. I. Springer-Verlag, Berlin Heidelberg New York

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Notes and References.2

  1. Shiryaev, A.N. (1996): Probability, 2nd edn. Springer-Verlag, Berlin Heidelberg New York

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© 2001 Springer-Verlag Berlin Heidelberg

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Liptser, R.S., Shiryaev, A.N. (2001). Martingales and Related Processes: Discrete Time. In: Statistics of Random Processes. Applications of Mathematics, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-13043-8_3

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  • DOI: https://doi.org/10.1007/978-3-662-13043-8_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-08366-2

  • Online ISBN: 978-3-662-13043-8

  • eBook Packages: Springer Book Archive

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