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 Electronic Communications in Probability > Vol. 2 (1997) > Paper 3 open journal systems 


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.


Full text: PDF

Pages: 27-41

Published on: May 14, 1997
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Electronic Communications in Probability. ISSN: 1083-589X