arXiv Analytics

Sign in

arXiv:1811.06062 [math.PR]AbstractReferencesReviewsResources

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

Olli Hella

Published 2018-11-01Version 1

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.

Categories: math.PR, math.DS
Subjects: 60F05, 37A50
Related articles: Most relevant | Search more
arXiv:1205.2682 [math.PR] (Published 2012-05-11, updated 2012-10-05)
Convergence in total variation on Wiener chaos
arXiv:1101.1810 [math.PR] (Published 2011-01-10, updated 2013-11-06)
Convergence in law of the minimum of a branching random walk
arXiv:math/0310210 [math.PR] (Published 2003-10-15, updated 2006-02-09)
The harmonic explorer and its convergence to SLE(4)

Links

Toolbox