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Cybernetics And Systems Analysis
International Theoretical Science Journal
UDC 519.21
S.M. Krasnitskiy1, O.O. Kurchenko2


1 Kyiv National University of Technologies and Design, Kyiv, Ukraine

krasnits.sm@ukr.net

2 Taras Shevchenko National University of Kyiv, Kyiv, Ukraine

olkurchenko@ukr.net

ON BAXTER TYPE THEOREMS FOR GENERALIZED RANDOM GAUSSIAN
PROCESSES WITH INDEPENDENT VALUES

Abstract. We construct suitable families of basic functions and prove theorems of Baxter type for generalized Gaussian random processes with independent values. These theorems are used to divide families of such processes into classes. The singularity of probability measures corresponding to representatives of different classes is proved.

Keywords: generalized random process, theorems of Baxter type, singularity of probability measures.



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