Strong Laws and Summability for φ-Mixing Sequences of Random Variables

Rüdiger Kiesel ()
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Rüdiger Kiesel: Birkbeck College, University of London

Journal of Theoretical Probability, 1998, vol. 11, issue 1, 209-224

Abstract: Abstract In this note the almost sure convergence of stationary, φ-mixing sequences of random variables 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.

Keywords: Strong Laws; φ-mixing; summability (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1023/A:1021655227120

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