๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A uniform strong law of large numbers for partial sum processes of fuzzy random variables indexed by sets

โœ Scribed by Lee-Chae Jang; Joong-Sung Kwon

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
299 KB
Volume
99
Category
Article
ISSN
0165-0114

No coin nor oath required. For personal study only.

โœฆ Synopsis

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 law of large numbers for sequences of fuzzy random variables. Our results generalize that of Bass and Pyke [Ann. Probab. 12 (1984) 268].

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 . (~

A strong law of large numbers for fuzzy
A strong law of large numbers for fuzzy random variables
โœ Yun Kyong Kim ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 82 KB

In this paper, we obtain a strong law of large numbers for sums of levelwise independent and levelwise identically distributed fuzzy random variables.