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- W4288365583 abstract "In this paper, we establish new quantitative convergence bounds for a class of functional autoregressive models in weighted total variation metrics. To derive our results, we show that under mild assumptions, explicit minorization and Foster-Lyapunov drift conditions hold. The main applications and consequences of the bounds we obtain concern the geometric convergence of Euler-Maruyama discretizations of diffusions with identity covariance matrix. Second, as a corollary, we provide a new approach to establish quantitative convergence of these diffusion processes by applying our conclusions in the discrete-time setting to a well-suited sequence of discretizations whose associated stepsizes decrease towards zero." @default.
- W4288365583 created "2022-07-29" @default.
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- W4288365583 date "2019-04-22" @default.
- W4288365583 modified "2023-09-29" @default.
- W4288365583 title "Convergence of diffusions and their discretizations: from continuous to discrete processes and back" @default.
- W4288365583 doi "https://doi.org/10.48550/arxiv.1904.09808" @default.
- W4288365583 hasPublicationYear "2019" @default.
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