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Normal approximation of random permanents

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Ukrainian Mathematical Journal Aims and scope

Abstract

For random permanents, we obtain an estimate of the rate of convergence in the central limit theorem.

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References

  1. V. S. Korolyuk and Yu. V. Borovskikh,Random Permanents [in Russian], Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1993).

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  2. A. J. van Es and R. Helmers, “Elementary symmetric polynomials of increasing order,”Probab. Theory Rel. Fields.,80, No. 1, 21–75 (1988).

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  3. K. O. Friedrich, “A Berry-Esseen bound for functions of independent random variables,”Ann. Statist.,17, No. 1, 170–183 (1989).

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    V. S. Korolyuk (Academician)

  2. St. Petersburg Transport Institute, St. Petersburg

    Yu. V. Borovskikh

Authors
  1. V. S. Korolyuk
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  2. Yu. V. Borovskikh
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 7, pp. 922–927, July, 1995.

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Korolyuk, V.S., Borovskikh, Y.V. Normal approximation of random permanents. Ukr Math J 47, 1058–1064 (1995). https://doi.org/10.1007/BF01084901

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  • DOI: https://doi.org/10.1007/BF01084901

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