On the strong laws of large numbers for random variables.
Abstract: Let $\{X_n, n \ge 1 \}$ be a sequence of random variables and $\{b_n,
n\ge 1\}$ be a nondecreasing sequence of positive constants. No
assumptions are imposed on the joint distributions of the random
variables. Some sufficient conditions are given under which
$\lim_{n\to \infty} \sum_{i=1}^n X_i/b_n=0$ almost surely.
It is also given necessary conditions for the strong law of large numbers.
Tea Time: 10:30am; R707
2011-06-14 11:00 ~ 2011-06-14 12:00
Prof. Andrei Volodin (University of Western Australia)