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A law of large numbers for random sets

โœ Scribed by Toshihiro Uemura

Book ID
107902679
Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
366 KB
Volume
59
Category
Article
ISSN
0165-0114

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๐Ÿ“œ SIMILAR VOLUMES

A uniform strong law of large numbers fo
A uniform strong law of large numbers for partial sum processes of Banach space-valued random sets
โœ Lee-Chae Jang; Joong-Sung Kwon ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 211 KB

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 . (~

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A uniform strong law of large numbers for partial sum processes of fuzzy random variables indexed by sets
โœ Lee-Chae Jang; Joong-Sung Kwon ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 299 KB

We consider random intervals as measurable mappings from a probability space into the set of intervals of R and prove a uniform strong law of large numbers for sequences of independent and identically distributed random intervals. Also we consider fuzzy random variables and prove a uniform strong la

Weak laws of large numbers for fuzzy ran
Weak laws of large numbers for fuzzy random sets
โœ Robert L. Taylor; Lynne Seymour; Yinpu Chen ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 472 KB

Weak laws of large numbers are obtained for fuzzy random sets in separable Banach spaces. These results are obtained under varying hypotheses of independence, exchangeability and tightness conditions on the distributions.