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We consider the birth-death process, the parameters of which are determined according to the external environment. The latter is described by a continuous-time Markov chain. In the literature, such processes are designated as Markov-modulated. They allow making such processes time-dependent....
In the present paper, the analysis of controlled probability tests is carried out and the basic criteria for their synthesis, including the Hamming and Cartesian distance, are given. The identity of the synthesis procedures of the controlled probability tests based on the greedy algorithm is...
A class of everywhere smooth membership functions of fuzzy sets based on the idea of spline functions is proposed. Formulas connecting the parameters of the membership functions and the coefficients defining the values of the membership functions are given. The solution of the problem of the...
In this paper, an explicit form is found of the Laplace-Stieltjes transformation of the distribution of the first major overhaul of a compressor unit, as well as its mathematical expectation and variance, using probabilistic and statistical methods. The obtained result makes it possible to study...
This article is dedicated to the study of the interpolative measurement of event occurrences based on the digital processing of a relaxation oscillator generated during the event occurrence. It is shown that the use of linear algorithms for estimating the performance of a regression oscillation...
Methods for processing weak signals in a complex interference situation are considered. A new class of adaptive methods of direction finding with supression of power interfering signals, which generalizes the Capon method and the thermal noise method, is proposed. The method of adaptive...
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