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Random double sequences with a given number of steps

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Ukrainian Mathematical Journal Aims and scope

Abstract

Selected statistics are studied of a random n-dimensional double sequence consisting of m0 zeros, m1 ones, m0 + m1=n, and k steps for different restrictions on m0, m1, k.

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Literature cited

  1. V. I. Masol, “The distribution of some statistics of a (0, 1)-vector,” Issled. Operatsii i ASU, No. 29, 23–27 (1987).

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  2. M. Loève, Probability Theory. Foundations. Random Sequences, Van Nostrand, Toronto (1955).

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  3. V. N. Sachkov, An Introduction to Combinatorial Methods of Discrete Mathematics [in Russian], Nauka, Moscow (1982).

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  4. Yu. V. Prokhorov and Yu. A. Rozanov, The Theory of Probability (Fundamental Concepts. Limit Theorems. Stochastic Processes) [in Russian], Nauka, Moscow (1987).

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Authors and Affiliations

  1. Kiev University, USSR

    V. I. Masol

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  1. V. I. Masol
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 4, pp. 512–518, April, 1990.

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Masol, V.I. Random double sequences with a given number of steps. Ukr Math J 42, 454–458 (1990). https://doi.org/10.1007/BF01071334

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  • DOI: https://doi.org/10.1007/BF01071334

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