Strong Laws and Summability for Sequences of Φ-mixing Random Variables in Banach Spaces
نویسنده
چکیده
In this note the almost sure convergence of stationary, φ-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.
منابع مشابه
Electronic Communications in Probability Strong Laws and Summability for Sequences of '-mixing Random Variables in Banach Spaces
In this note the almost sure convergence of stationary, '-mixing sequences of random variables with values in real, separable Banach spaces according to summability methods is linked to the fullllment 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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