English

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

Probability 2019-10-17 v2 Dynamical Systems

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.

Keywords

Cite

@article{arxiv.1811.06062,
  title  = {Central limit theorems with a rate of convergence for sequences of transformations},
  author = {Olli Hella},
  journal= {arXiv preprint arXiv:1811.06062},
  year   = {2019}
}