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CONVERGENCE THEOREMS FOR THE SEQUENCE OF RANDOM SETS WITH RESPECT TO THE TOPOLOGY

CONVERGENCE THEOREMS FOR THE SEQUENCE OF RANDOM SETS WITH RESPECT TO THE TOPOLOGY
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摘要 Z. Artstein has derived a strong law of large numbers for random compact sets with respect to Hausdorff distance. In this note, we give an equivalent theorem for almost everywhere convergence of the sequence of random sets with respect to the topology, and the relationships among all convergences of the sequence of random sets.
出处 《Chinese Science Bulletin》 SCIE EI CAS 1988年第5期360-363,共4页
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