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Estimation of the maximum value of a signal in Gaussian white noise

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Literature cited

  1. I. A. Ibragimov and R. Z. Khas'minskii, “Some problems of statistical data processing in communications,” in: Proc. of the 1975 IEEE-USSR Joint Workshop in Information Theory, The Institute of Electrical and Electronics Engineers, Inc., New York (1976), pp. 86–92.

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  2. I. A. Ibragimov and R. Z. Khas'minskii, Asymptotic Theory of Estimation [in Russian], Nauka, Moscow (1979).

    Google Scholar 

  3. M. Rosenblatt, “Curve estimation,” Ann. Math. Statist.,42, No. 6, 1815–1842 (1971).

    Google Scholar 

  4. É. A. Nadaraya, “On the integral mean-square error of certain nonparametric estimates of probability density,” Teor. Veroyatn. Primen.,19, No. 1, 131–139 (1974).

    Google Scholar 

  5. S. Berman, “Sojourns and extremes of Gaussian processes,” Ann. Probab.,2, No. 6, 999–1026 (1974).

    Google Scholar 

  6. I. A. Ibragimov and R. Z. Khas'minskii, “On the estimates of a signal, its derivatives, and point of maximum for Gaussian observations,” Teor. Veroyatn. Primen.,25, No. 4, 718–733 (1980).

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Authors and Affiliations

  1. Leningrad Campus of the V. A. Steklov Mathematics Institute, Academy of Sciences of the USSR, USSR

    I. A. Ibragimov & R. Z. Khas'minskii

  2. Institute for Problems of Information Transmission, Academy of Sciences of the USSR, USSR

    I. A. Ibragimov & R. Z. Khas'minskii

Authors
  1. I. A. Ibragimov
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  2. R. Z. Khas'minskii
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Translated from Matematicheskie Zametki, Vol. 32, No. 4, pp. 529–536, October, 1982.

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Ibragimov, I.A., Khas'minskii, R.Z. Estimation of the maximum value of a signal in Gaussian white noise. Mathematical Notes of the Academy of Sciences of the USSR 32, 746–750 (1982). https://doi.org/10.1007/BF01152383

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  • DOI: https://doi.org/10.1007/BF01152383

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