Tamilla I. Nasirova

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The stepwise process of a semi-Markovian random walk with two delaying screens is considered. A mathematical model of the considered process is constructed, and a double Laplace transform for conditional and unconditional distributions of the process is obtained, as well as a Laplace transform for the ergodic distribution of the process and its first and(More)
The process of semi-Markov wandering with delaying screens “b” and “a” (a > b > 0) is constructed by the given sequence of independent and identically distributed random vectors (ξ i , η i ), i ≥ 1. The integral equation for the Laplace transform by time and the Laplace-Stieltjes transform by the phase of its conditional distribution is derived. If the(More)
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 the models associated with random walks built on sums of(More)
In this paper we will investigate the semi-markov random processes with positive tendency, negative jumps and delaying boundary at zero in this article. The Laplace transform on time, Laplace-Stieltjes transform on phase of the conditional and unconditional distributions and Laplace-Stieltjes transform of the ergodic distribution are defined. The(More)
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