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INFORMATICA, 2001, Vol. 12, No. 2, 263-284
© Institute of Mathematics and Informatics, Vilnius, 1998

ISSN 0868-4952

Likelihood Ratio Determination for Stochastic Processes Recognition Problem with Respect to the Set of Continuous and Discrete Memory Observations

Nikolas DYOMINa, Svetlana ROZHKOVAb, Olga ROZHKOVAb

aDepartment of Applied Mathematics and Cybernetics, Tomsk State University 36 Lenin ave., Tomsk, Russia E-mail: svr@hm.tpu.ru

bDepartment of Natural Sciences and Mathematics, Tomsk Politechnical University 30 Lenin ave., Tomsk, Russia E-mail: svr@hm.tpu.ru

Abstract

This paper considers the problem of likelihood ratio determination for recognition of the stochastic processes with continuous time on the set continuous and discrete time memory observations. The research of memory influence on the detection quality of anomalous noises in the discrete channel observation with applying the general obtained results is realized for the one particular problem.

Keywords:

likelihood ratio, recognition, a posteriori density function, a posteriori probalitity, filtering, estimation

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