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- W4287990939 abstract "A probabilistic approach for estimating sample qualities for stochastic differential equations is introduced in this paper. The aim is to provide a quantitative upper bound of the distance between the invariant probability measure of a stochastic differential equation and that of its numerical approximation. In order to extend estimates of finite time truncation error to infinite time, it is crucial to know the rate of contraction of the transition kernel of the SDE. We find that suitable numerical coupling methods can effectively estimate such rate of contraction, which gives the distance between two invariant probability measures. Our algorithms are tested with several low and high dimensional numerical examples." @default.
- W4287990939 created "2022-07-26" @default.
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- W4287990939 date "2019-12-21" @default.
- W4287990939 modified "2023-09-24" @default.
- W4287990939 title "Using coupling methods to estimate sample quality for stochastic differential equations" @default.
- W4287990939 doi "https://doi.org/10.48550/arxiv.1912.10339" @default.
- W4287990939 hasPublicationYear "2019" @default.
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