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Chebyshevskii Sbornik, 2022, Volume 23, Issue 3, Pages 255–261
DOI: https://doi.org/10.22405/2226-8383-2022-23-3-255-261 (Mi cheb1212) 		 
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On the probability distribution densities of an aggregated random variable for evaluating the functioning of complex systems: a three-dimensional case

R. A. Zhukov, N. O. Kozlova

Financial University under the Government of the Russian Federation (Tula Branch) (Tula)
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DOI: https://doi.org/10.22405/2226-8383-2022-23-3-255-261
Abstract: \indent The probability distribution density of an aggregated random variable is constructed, which is used to estimate the parameters of an aggregated production function determined by a quadratic convolution of production functions characterizing the particular results of the functioning of elements of a complex system. The relations in quadratures for the three-dimensional case are obtained.
Keywords: probability distribution density, production function, aggregation, model, complex system.
Funding agency Grant number
Russian Science Foundation 22-28-20061
The study was carried out at the expense of a grant from the Russian science Foundation № 22-28-20061, https://rscf.ru/project/22-28-20061/ and Tula region.
Received: 11.04.2022
Accepted: 14.09.2022
Document Type: Article
UDC: 519.2
Language: Russian
Citation: R. A. Zhukov, N. O. Kozlova, “On the probability distribution densities of an aggregated random variable for evaluating the functioning of complex systems: a three-dimensional case”, Chebyshevskii Sb., 23:3 (2022), 255–261
Citation in format AMSBIB
\Bibitem{ZhuKoz22}
\by R.~A.~Zhukov, N.~O.~Kozlova
\paper On the probability distribution densities of an aggregated random variable for evaluating the functioning of complex systems: a three-dimensional case
\jour Chebyshevskii Sb.
\yr 2022
\vol 23
\issue 3
\pages 255--261
\mathnet{http://mi.mathnet.ru/cheb1212}
\crossref{https://doi.org/10.22405/2226-8383-2022-23-3-255-261}
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