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WROCŁAW UNIVERSITY
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Contents of PMS, Vol. 11, Fasc. 2,
pages 291 - 304
 

MATHEMATICAL EXPECTATION AND MARTINGALES OF RANDOM SUBSETS OF A METRIC SPACE

Wojciech Herer

Abstract: Let F be a closed, bounded, non - empty random subset of a metric space (X,r). For some class of metric spaces we define in terms of the metric r (developing an idea of S. Doss) mathematical expectation and conditional mathematical expectation of F. 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: -

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