Abstract
A model for the scalar random field induced by a Wiener process is analyzed.
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REFERENCES
Gaishun, I.V., Vpolne razreshimye mnogomernye differentsial’nye uravneniya (Completely Solvable Multidimensional Differential Equations), Minsk: Nauka i Tekhnika, 1983.
Mukha, V., State Model for Scalar Random Fields. Computer Data Analysis and Modeling. Robustness and Computer Intensive Methods, Proc. Sixth Int. Conf., Minsk, 2001, vol. 2, pp. 137–141.
Cramer, H. and Leadbetter, M., Stationary and Related Stochastic Processes, New York: Wiley, 1967. Translated under the title Statsionarnye sluchainye protsessy, Moscow: Mir, 1969.
Mukha, V.S., Veroyatnostnye protsessy v avtomatizirovannykh sistemakh upravleniya. Chast’ 2 (Probabilistic Processes in Automatic Control Systems. Part. 2), Minsk: MRTI, 1988.
Cramer, H., Mathematical Methods of Statistics, Princeton: Princeton Univ. Press, 1937. Translated under the title Matematicheskie metody statistiki, Moscow: Mir, 1975.
Levy, P., Processus Stochastiques et Movement Brownien, Paris: Gauthier-Villars, 1965. Translated under the title Stokhasticheskie protsessy i brounovskoe dvizhenie, Moscow: Nauka, 1972.
Morozova, E.A. and Chentsov, N.N., Levy Stochastic Fields, Teor. Veroyatn. Primenen., 1968, vol. 13, pp. 152–155.
Veroyatnost’ i matematicheskaya statistika: entsiklopediya (Probability and Mathematical Statistics: Encyclopedia), Moscow: BRE, 1999.
Chentsov, N.N., Wiener Stochastic Fields of Several Parameters, Dokl. Akad. Nauk SSSR, 1956, vol. 106, no.4, pp. 607–609.
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Translated from Avtomatika i Telemekhanika, No. 6, 2005, pp. 170–174.
Original Russian Text Copyright © 2005 by Mukha.
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Mukha, V.S. The Random Field Induced by a Wiener Process. Autom Remote Control 66, 1003–1006 (2005). https://doi.org/10.1007/s10513-005-0144-8
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DOI: https://doi.org/10.1007/s10513-005-0144-8