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Optimization of Randomized Monte Carlo Algorithms for Solving Problems with Random Parameters

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Randomized Monte Carlo algorithms intended for statistical kernel estimation of the averaged solution to a problem with random baseline parameters are optimized. For this purpose, a criterion for the complexity… Click to show full abstract

Randomized Monte Carlo algorithms intended for statistical kernel estimation of the averaged solution to a problem with random baseline parameters are optimized. For this purpose, a criterion for the complexity of a functional Monte Carlo estimate is formulated. The algorithms involve a splitting method in which, for each realization of the parameters, a certain number of trajectories of the corresponding baseline process are constructed.

Keywords: optimization randomized; monte; monte carlo; randomized monte; carlo algorithms

Journal Title: Doklady Mathematics
Year Published: 2018

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