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Limit of a complex random function

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Abstract

An investigation of the existence of a limit (in the weak-convergence sense) of the superposition of random functions without the requirement that they be independent.

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Literature cited

  1. A. V. Skorokhod, “Limit theorems for random processes,” Teoriya Veroyat. i ee Prlmen.,1, No. 3, 289–319 (1956).

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  2. A. V. Skorokhod and N. P. Slobodenyuk, Limit Theorems for Random Walks [in Russian], Kiev (1970).

  3. A. V. Skorokhod, Random Processes with Independent Increments [in Russian], Moscow (1904).

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Authors and Affiliations

  1. Kiev State University, USSR

    D. S. Sil'vestrov

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  1. D. S. Sil'vestrov
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Additional information

Translated from Matematicheskie Zametki, Vol. 10, No. 1, pp. 113–123, July, 1971.

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Sil'vestrov, D.S. Limit of a complex random function. Mathematical Notes of the Academy of Sciences of the USSR 10, 490–495 (1971). https://doi.org/10.1007/BF01747077

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  • DOI: https://doi.org/10.1007/BF01747077

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