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

Olli Hella

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arXiv · 1811.06062

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

Olli Hella

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Abstract

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.

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BibTeX RIS

Olli Hella. 2019-10-16. Central limit theorems with a rate of convergence for sequences of transformations. https://arxiv.org/abs/1811.06062

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