On Chung's type law of large numbers for fuzzy random variables

Sang Yeol Joo, Yun Kyung Kim and Joong Sung Kwon

Statistics & Probability Letters, 2005, vol. 74, issue 1, 67-75

Abstract: Let {Xnn[greater-or-equal, slanted]1} be a sequence of independent fuzzy random variables and {ann[greater-or-equal, slanted]1} a sequence of positive real numbers converging to [infinity]. In this paper we show that, under the assumption with some restrictions on [phi], a.s. if and only if in probability if and only if in L1 where . This will generalize earlier results of strong law of large numbers for random elements in a Banach space (Choi and Sung (1988). Bull. Austral. Math. Soc. 37, 93-100).

Keywords: Fuzzy; random; variables; Law; of; large; numbers; Convergence; in; probability; Almost; everywhere; convergence; L1-convergence; Embedding (search for similar items in EconPapers)
Date: 2005
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