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WROCŁAW UNIVERSITY
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Contents of PMS, Vol. 20, Fasc. 2,
pages 273 - 285
 

LARGE DEVIATION PRINCIPLE FOR SET-VALUED UNION PROCESSES

Tomasz Schreiber

Abstract: The purpose of the paper is to establish a large deviation principle for a certain class of increasing set-valued processes obeying Markovian dynamics. The obtained result is then applied to investigate the asymptotics of the sequence of successive convex hulls generated by uniform samples on a d -dimensional ball.

1991 AMS Mathematics Subject Classification: Primary: -; Secondary: -;

Key words and phrases: large deviations, random closed sets, Markov process, convex hull.

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