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Acta Mathematica Hungarica
Authors:
C. C. Y. Dorea
and
A. G. C. Pereira
Summary
We introduce a simple variation of Doeblin's condition, Condition D*, that assures the uniform ergodicity of a Markov chain. It is also shown that for non-homogeneous chains our conditions are equivalent to Dobrushin's weak ergodic coefficient.
Acta Mathematica Hungarica
Authors:
Chang C. Y. Dorea
and
Debora B. Ferreira
Abstract
Convergence in Mallows distance is of particular interest when heavy-tailed distributions are considered. For 1≦α<2, it constitutes an alternative technique to derive central limit type theorems for non-Gaussian α-stable laws. In this note, we further explore the connection between Mallows distance and convergence in distribution. Conditions for their equivalence are presented.
