Central limit theorems with a rate of convergence for sequences of transformations

Using Stein's method, we prove an abstract result that yields multivariate central limit theorems with a rate of convergence for time-dependent dynamical systems. As examples we study a model of expanding circle maps and a quasistatic model. In both models we prove multivariate central limit th...

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Bibliographic Details
Published in:arXiv.org 2019-10
Main Author: Hella, Olli
Format: Article
Language:English
Subjects:
Convergence
Theorems
Time dependence
Online Access:Get full text
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Summary:Using Stein's method, we prove an abstract result that yields multivariate central limit theorems with a rate of convergence for time-dependent dynamical systems. As examples we study a model of expanding circle maps and a quasistatic model. In both models we prove multivariate central limit theorems with a rate of convergence.
ISSN:2331-8422