Strong Laws and Summability for Sequences of $phi$-Mixing Random Variables in Banach Spaces
Rüdiger Kiesel, University of London
Abstract
In this note the almost sure convergence of stationary, $varphi$-mixing
sequences of random variables with values in real, separable Banach
spaces according to summability methods is linked to the fulfillment
of a certain integrability condition generalizing and
extending the results for i.i.d. sequences.
Furthermore we give via Baum-Katz type results an estimate for the rate
of convergence in these laws.
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