Abstract
A survey of the works of M. I. Yadrenko in the theory of random fields on finite-dimensional and infinite-dimensional spaces is presented.
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References
M. I. Yadrenko, “Certain topics in the theory of random fields,” Dissertation for Degree of Candidate of Physics and Mathematics (abstract), Kiev (1961).
M. I. Yadrenko, “On isotropic Markov-type fields on the sphere,” Dopov. Akad. Nauk URSR. Ser. A, No. 1, 231–236 (1959).
M. I. Yadrenko, “On extrapolation of isotropic random fields (that are not necessarily homogeneous),” Teor. Veroyat. Mat. Statistika,15, No. 1, 240–248 (1970).
M. I. Yadrenko, “Ergodic theorems for isotropic random fields,” Teor. Veroyatn. Mat. Statistika,15, No. 2, 249–252 (1970).
M. I. Yadrenko and N. N. Leonenko, “Limit theorems for homogeneous and isotropic random fields,” Teor. Veroyatn. Mat. Statistika,24, No. 21, 97–109 (1979).
M. I. Yadrenko and N. N. Leonenko, “On the principle of invariance for homogeneous isotropic random fields,” Teor. Veroyatn. Primen.,24, No. 1, 175–181 (1979).
M. I. Yadrenko, “Isotropic Markov-type random fields in Euclidean and Hilbert spaces,” Proc. All-Union Conference, “Theory of Probability and Mathematical Statistics,” Izdvo Akad. Nauk ArmSSR, Erevan (1960), pp. 263–279.
M. I. Yadrenko and Yu. D. Popov, “Certain topics of the spectral theory of homogeneous and isotropic random fields,” Teor. Veroyatn. Primen.,14, No. 4, 531–549 (1969).
M. I. Yadrenko, “On the continuity of choice functions of random fields,” Proc. 7th All-Union Conference, “Probability Theory,” Metsniereba, Tbilisi (1963), pp. 41–44.
M. I. Yadrenko, “On optimal linear estimates of mathematical expectation and regression coefficient of isotropic random fields,” Dokl. Akad. Nauk SSSR, No. 6, 1303–1306 (1973).
M. I. Yadrenko, “Local properties of choice functions of random fields,” Visn. Kyiv. Un-tu. Ser. Mat. Mekh., No. 9, 103–112. (1967).
M. I. Yadrenko and Yu. V. Kozachenko, “Local properties of choice functions of random fields,” Teor. Veroyatn. Mat. Statistika, Part I, No. 14, 53–66. No. 15, 82–98 (1967).
M. I. Yadrenko, “On the continuity of the random field in Hilbert space,” Dopov. Akad. Nauk URSR. Ser. A,8, 734–786 (1968).
M. I. Yadrenko, “Analytic random fields,” Visn. Kyiv. Un-tu. Ser. Mat. ta Mekh., No. 11, 53–56 (1969).
M. I. Yadrenko, “On the absolute continuity of measures corresponding to homogeneous and isotropic random fields,” Teor. Veroyatn. Mat. Statistika, No. 7, 152–161 (1972).
A. V. Skorokhod and M. I. Yadrenko, “On the absolute continuity of Gaussian measures corresponding to homogeneous random fields,” Teor. Veroyatn. Primen.,18, No. 1, 30–43 (1973).
M. I. Yadrenko, “On the orthogonality of measures that correspond to Gaussian homogeneous random fields,” Teor. Sluch. Protsessov, No. 2, 131–135 (1973).
M. I. Yadrenko, “Hypothesis discrimination problem for isotropic random fields,” Kibernetika, No. 5, 67–71 (1973).
M. I. Yadrenko, Spectral Theory of Random Fields [in Russian], Vishcha Shkola, Kiev (1980).
M. I. Yadrenko, Spectral Theory of Random Fields, Optimization Software, Inc., New York (1983).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 44, No. 11, pp. 1460–1465, November. 1992.
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Buldygin, V.V., Kozachenko, Y.V. & Leonenko, N.N. Works of M. I. Yadrenko in the theory of random fields. Ukr Math J 44, 1343–1348 (1992). https://doi.org/10.1007/BF01071506
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DOI: https://doi.org/10.1007/BF01071506