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A problem in linear prediction for homogeneous stochastic fields

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Literature Cited

  1. A. N. Kolmogorov, “The interpolation and extrapolation of stationary stochastic sequences,” Izv. AN SSSR, Matematika,5, no. 1, Moscow, 1941.

  2. M. G. Krein, “On an extrapolation problem of Kolmogorov,” DAN SSSR,94, no. 1, Moscow, 1954.

  3. M. G. Krein, “A fundamental approximation problem in the theory of extrapolation and filtration of stationary stochastic processes,” DAN SSSR,94, no. 1, Moscow, 1954.

  4. A. M. Yaglom, “The problem of the linear interpolation of stationary sequences and processes,” Usp. matem. nauk,4, no. 9, Moscow, 1949.

  5. A. M. Yaglom, “Extrapolation, interpolation, and filtration of stationary stochastic processes with rational spectral density,” Trudy Moskovskogo matematicheskogo obshchestva,4, 1955.

  6. A. M. Yaglom, “Introduction to the theory of stationary stochastic functions,” Usp. matem. nauk,7, no. 5, Moscow, 1952.

  7. N. Wiener, Interpolation, Extrapolation, and Smoothing of Stationary Time Series, New York, 1949.

  8. Chiang Tse-P'ei, “The linear extrapolation of a continuous field,” Teoriya Veroyatnostei i ee Primeneniya,2, no. 1, Moscow, 1957.

  9. Chiang Tse-P'ei, “The extrapolation problem for homogeneous stochastic fields of discrete argument,” DAN SSSR, 112, no. 2, Moscow, 1957.

  10. M. S. Pinsker, “The extrapolation of homogeneous stochastic fields,” DAN SSSR, 112, no. 5, Moscow, 1957.

  11. M. I. Yadrenko, “On certain problems of linear prognosis for homogeneous stochastic fields,” Visnyk KHU, Seriya astronomii, matematyky ta mekhaniky [Ukrainian], no. 1, issue 2, Kiev, 1958.

  12. M. I. Fortus, “Formulas for the extrapolation of stochastic fields,” Teoriya veroyatnostei i ee primeneniya,7, no. 1, Moscow, 1962.

  13. M. I. Fortus, “The problem of practical statistical extrapolation of meteorological fields” Izv. AN SSSR, Seriya geofizicheskaya, no. 6, Moscow, 1962.

  14. A. G. Senin, “Some problems in the analysis and synthesis of measuring systems for extrapo lating a stochastic field,” Izv. Sibirskogo otdeleniya AN SSSR, Seriya tekhnicheskikh nauk,2, no. 1, Moscow, 1964.

  15. D. P. Petersen and D. Middleton, “Linear interpolation, extrapolation, and prediction of random spacetime fields with a limited domain of measurement,” IEEE Trans. Inform. Theory,11, no. 1, 1965.

  16. D. P. Peterson and D. Middleton, “Reconstruction of multidimensional stochastic fields from discrete measurement of amplitude and gradient,” Information and Control,7, no. 4, 1964.

  17. G. Beitmen and A. Erdein, Higher Transcendental Functions [in Russian], Vol. 2, Izd. nauk, Moscow, 1966.

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Kiev State University. Translated from Kibernetika, Vol. 5, No. 4, pp. 88–93, July–August, 1969.

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Popov, Y.D. A problem in linear prediction for homogeneous stochastic fields. Cybern Syst Anal 5, 456–463 (1969). https://doi.org/10.1007/BF01073059

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