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How Small are the Increments of a Wiener Sheet?

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The First Pannonian Symposium on Mathematical Statistics

Part of the book series: Lecture Notes in Statistics ((LNS,volume 8))

Abstract

In [1] we investigated the question: “How small are the increments of a Wiener process?” The main answer of this questions can be summarized in the following:

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Refernces

  1. Csörgö, M. — Révész, P. (1979) How small are the increments of a Wiener process? Stoch.Proc. and Appl. 8, 119–129.

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  2. Csörgö, M. — RévÉsz, P. (1978) How big are the increments of a multi-parameter Wiener process? I. Wahrscheinlichkeitstheorie verw. Gebiete 42, 1–12.

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  3. Chung, K.L. (1948) On the maximum partial sums of sequences of independent random variables. Trans.Amer.Math. Soc. 64, 205–233.

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  4. Goodman, V. (1976) Distribution estimates for functionals of the two-parameter Wiener process. Ann. Probability 4, 977–982.

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  5. Csörgö, M. — Révész, P.(1980) Strong approximations in probability and statistics. Akadèmiai Kiadó, Budapest.

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© 1981 Springer-Verlag New York Inc.

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Révész, P. (1981). How Small are the Increments of a Wiener Sheet?. In: The First Pannonian Symposium on Mathematical Statistics. Lecture Notes in Statistics, vol 8. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5934-3_19

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  • DOI: https://doi.org/10.1007/978-1-4612-5934-3_19

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-90583-9

  • Online ISBN: 978-1-4612-5934-3

  • eBook Packages: Springer Book Archive

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