MATHEMATICAL EXPECTATION AND MARTINGALES OF RANDOM
SUBSETS OF A METRIC SPACE
Abstract: Let be a closed, bounded, non - empty random subset of a metric space
For some class of metric spaces we define in terms of the metric (developing an idea of S.
Doss) mathematical expectation and conditional mathematical expectation of We then
consider martingales of random subsets of a metric space and prove theorems of convergence
for such martingales.
2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;
Key words and phrases: -