Publications by authors named "V G Kaishev"

Polyunsaturated fatty acids (PUFA) consumed with dietary fats are physiologically active substances involved in metabolic processes in the organism, in particular, carbohydrate-fat and cholesterol metabolism, regulation of redox processes. Butter is one of the main food items of the daily human diet. The basis of butter is milk fat, which is characterized by a rich fatty acid composition and unique properties.

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In this article, we introduce a framework for analyzing the risk of systems failure based on estimating the failure probability. The latter is defined as the probability that a certain risk process, characterizing the operations of a system, reaches a possibly time-dependent critical risk level within a finite-time interval. Under general assumptions, we define two dually connected models for the risk process and derive explicit expressions for the failure probability and also the joint probability of the time of the occurrence of failure and the excess of the risk process over the risk level.

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