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Randomized Monte Carlo Algorithms for Problems with Random Parameters (“Double Randomization” Method). / Mikhailov, G. A.
в: Numerical Analysis and Applications, Том 12, № 2, 01.04.2019, стр. 155-165.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Randomized Monte Carlo Algorithms for Problems with Random Parameters (“Double Randomization” Method)
AU - Mikhailov, G. A.
PY - 2019/4/1
Y1 - 2019/4/1
N2 - Randomized Monte Carlo algorithms are constructed by a combination of a basic probabilistic model and its random parameters to investigate parametric distributions of linear functionals. An optimization of the algorithms with a statistical kernel estimator for the probability density is presented. A randomized projection algorithm for estimating a nonlinear functional distribution is formulated and applied to the investigation of the criticality fluctuations of a particle multiplication process in a random medium.
AB - Randomized Monte Carlo algorithms are constructed by a combination of a basic probabilistic model and its random parameters to investigate parametric distributions of linear functionals. An optimization of the algorithms with a statistical kernel estimator for the probability density is presented. A randomized projection algorithm for estimating a nonlinear functional distribution is formulated and applied to the investigation of the criticality fluctuations of a particle multiplication process in a random medium.
KW - double randomization method
KW - probabilistic model
KW - random medium
KW - random parameter
KW - randomized algorithm
KW - splitting method
KW - statistical kernel estimator
KW - statistical modeling
UR - http://www.scopus.com/inward/record.url?scp=85066811828&partnerID=8YFLogxK
U2 - 10.1134/S1995423919020058
DO - 10.1134/S1995423919020058
M3 - Article
AN - SCOPUS:85066811828
VL - 12
SP - 155
EP - 165
JO - Numerical Analysis and Applications
JF - Numerical Analysis and Applications
SN - 1995-4239
IS - 2
ER -
ID: 20537639