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Statistics for the correlation function of a process obtained from a wiener process by means of a special transformation

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Literature cited

  1. I. Sh. Ibramkhalilov, “On the existence of rigorous estimates for the correlation operator of a Gaussian distribution,” in: Problems in Statistics and Stochastic Control [in Russian], Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, Kiev (1973), pp. 106–115.

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  2. I. Sh. Ibramkhalilov, “On Bayesian estimates for the correlation operator of Gaussian variables in Hilbert space,” in: Problems in Statistics and Stochastic Control [in Russian], Institute of Mathematics, Academy of Sciences of the Ukrainian SSR; Kiev (1973), pp. 116–125.

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  3. I. Sh. Ibramkhalilov and A. V. Skorokhod, “Determination of the mean for a Wiener process observed on an infinite interval,” Teor. Veroyatn. Primen.,18, No. 4, 804–808 (1973).

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  4. A. V. Skorokhod, “A continuity theorem for a stochastic function on a compact set in Hilbert space,” Teor. Veroyatn. Primen.,18, No. 4, 809–811 (1973).

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 30, No. 6, pp. 731–737, November–December, 1978.

The author expresses his deep gratitude to A. V. Skorokhod for consultations and helpful advice.

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Ibramkhalilov, I.S. Statistics for the correlation function of a process obtained from a wiener process by means of a special transformation. Ukr Math J 30, 549–554 (1978). https://doi.org/10.1007/BF01091378

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  • DOI: https://doi.org/10.1007/BF01091378

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