On the 𝜓-mixing condition for stationary random sequences-Reference-Cited by-同舟云学术

On the 𝜓-mixing condition for stationary random sequences

Published:1983 Issue:1 Volume:276 Page:55-66
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Bradley Richard C.

Abstract

For strictly stationary sequences of random variables two mixing conditions are studied which together form the ψ \psi -mixing condition. For the dependence coefficients associated with these two mixing conditions this article gives results on the possible limiting values and possible rates of convergence to these limits.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1983-276-01/S0002-9947-1983-0684493-5/S0002-9947-1983-0684493-5.pdf

Reference5 articles.

1. H. C. P. Berbee, Weak Bernoulli processes, periodicity and renewal theory on the integers, Free University of Amsterdam, Report no. 167, April 1981.

2. On the strong law of large numbers for a class of stochastic processes;Blum, J. R.;Z. Wahrscheinlichkeitstheorie und Verw. Gebiete,1963

3. On the 𝜑-mixing condition for stationary random sequences;Bradley, Richard C., Jr.;Duke Math. J.,1980

4. Absolute regularity and functions of Markov chains;Bradley, Richard C., Jr.;Stochastic Process. Appl.,1983

5. Examples of mixing sequences;Kesten, H.;Duke Math. J.,1976

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