A uniform strong law of large numbers for partial sum processes of Banach space-valued random sets

Lee-Chae Jang and Joong-Sung Kwon

Statistics & Probability Letters, 1998, vol. 38, issue 1, 21-25

Abstract: We consider random sets as (measurable) mappings from a probability space into the set of compact convex subsets of a Banach space and prove a uniform strong law of large numbers for sequences of independent and identically distributed random sets. Our results generalize those of Bass and Pyke (1984).

Keywords: Uniform; law; of; large; numbers; Partial; sum; process; Random; sets; Smooth; boundary; condition (search for similar items in EconPapers)
Date: 1998
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