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

   
@article{ECP982,
	author = {Rädiger Kiesel},
	title = {Strong Laws and Summability for Sequences of $\phi$-Mixing Random Variables in Banach Spaces},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {2},
	year = {1997},
	keywords = {Strong Laws, \$varphi\$-mixing, Summability.},
	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.},
	pages = {no. 3, 27-41},
	issn = {1083-589X},
	doi = {10.1214/ECP.v2-982},    
        url = {http://ecp.ejpecp.org/article/view/982}}