Translator Disclaimer
1997 Strong Laws and Summability for Sequences of $\phi$-Mixing Random Variables in Banach Spaces
Rädiger Kiesel
Author Affiliations +
Electron. Commun. Probab. 2: 27-41 (1997). DOI: 10.1214/ECP.v2-982

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.

Citation

Download Citation

Rädiger Kiesel. "Strong Laws and Summability for Sequences of $\phi$-Mixing Random Variables in Banach Spaces." Electron. Commun. Probab. 2 27 - 41, 1997. https://doi.org/10.1214/ECP.v2-982

Information

Accepted: 14 May 1997; Published: 1997
First available in Project Euclid: 26 January 2016

zbMATH: 0890.60026
MathSciNet: MR1448323
Digital Object Identifier: 10.1214/ECP.v2-982

Subjects:
Primary: 60F15
Secondary: 40G05, 40G10

JOURNAL ARTICLE
15 PAGES


SHARE
Back to Top