Abstract
A strong law of large numbers under conditions irrespective of the joint distribution of the sequence is extended to random sets. The extension is such that the role of events of the form {||V n || ≤ b n } (where V n is a random element of a separable Banach space) is played by events of the form {X n ⊂ B n } (where X n is a random closed bounded set).
Keywords:
Mathematics Subject Classification:
ACKNOWLEDGMENT
Research in this paper has been funded by the Spanish Ministerio de Ciencia y Tecnología via its research grant BFM2002-03263.
Notes
Dedicated to the memory of M. André Jalbert and Mme. Jacqueline Barbéra.