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Strong Laws and Summability for Sequences of $\phi$-Mixing Random Variables in Banach Spaces


 
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1. Title Title of document Strong Laws and Summability for Sequences of $\phi$-Mixing Random Variables in Banach Spaces
 
2. Creator Author's name, affiliation, country Rädiger Kiesel; University of London
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Strong Laws, $varphi$-mixing, Summability.
 
3. Subject Subject classification 60F15, (40G05, 40G10).
 
4. Description 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.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 1997-05-14
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/982
 
10. Identifier Digital Object Identifier 10.1214/ECP.v2-982
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 2
 
12. Language English=en
 
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