Asymptotic analysis of intensity of Poisson flows assembly G. Tsitsiashvili, A. N. Moiseev, K. Voytikov
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ArticleContent type: Текст Media type: электронный Subject(s): асимптотический анализ | пуассоновские потоки | интенсивность сборки | сборка пуассоновских потоковGenre/Form: статьи в сборниках Online resources: Click here to access online
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Information Technologies and Mathematical Modelling. Queueing Theory and Applications : 19th International Conference, ITMM 2020, named after A. F. Terpugov, Tomsk, Russia, December 2–5, 2020 : revised selected papers P. 78-94Abstract: The paper is devoted to obtaining estimations of the rate of convergence of the intensity of an assembly of Poisson flows to the intensity of a stationary Poisson flow. Analysis of the results shows that this problem should combine analytical and numerical studies. An important role is played by the Central limit theorem for both random variables and stochastic processes which is understood in the sense of C-convergence. Exact asymptotic formulas are derived for intensity of the assembly flow of identical Poisson flows, and estimations of the convergence rate are build for the case of non-identical original flows.
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The paper is devoted to obtaining estimations of the rate of convergence of the intensity of an assembly of Poisson flows to the intensity of a stationary Poisson flow. Analysis of the results shows that this problem should combine analytical and numerical studies. An important role is played by the Central limit theorem for both random variables and stochastic processes which is understood in the sense of C-convergence. Exact asymptotic formulas are derived for intensity of the assembly flow of identical Poisson flows, and estimations of the convergence rate are build for the case of non-identical original flows.
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