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Martingale characterization of limit distributions in the space of functions without discontinuities of second kind

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Literature cited

  1. P. Billingsley, Convergence of Probability Measures, Wiley, New York (1968).

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  2. D. W. Stroock and S. R. S. Varadhan, Multidimensional Diffusion Processes, Springer-Verlag, Berlin (1979).

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  3. A. N. Shiryaev, Probability [in Russian], Nauka, Moscow (1980).

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Authors and Affiliations

  1. Moscow Wood-Technology Institute, USSR

    M. N. Sviridenko

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  1. M. N. Sviridenko
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Translated from Matematicheskie Zametki, Vol. 43, No. 5, pp. 692–700, May, 1988.

The author thanks A. D. Venttsel' for the formulation of the problem and assistance with the note.

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Sviridenko, M.N. Martingale characterization of limit distributions in the space of functions without discontinuities of second kind. Mathematical Notes of the Academy of Sciences of the USSR 43, 398–402 (1988). https://doi.org/10.1007/BF01158849

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  • DOI: https://doi.org/10.1007/BF01158849

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