MATHEMATICAL EXPECTATION AND STRONG LAW OF LARGE
NUMBERS FOR RANDOM VARIABLES WITH VALUES IN A METRIC
SPACE OF NEGATIVE CURVATURE
Abstract: Let be a random variable with values in a metric space For some class
of metric spaces we define in terms of the metric mathematical expectation of as a
closed bounded and non-empty subset of We then prove Kolmogorov’s version of
Strong Law of Large Numbers corresponding to that mathematical expectation.
2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;
Key words and phrases: -