TITLE:
A Strong Law of Large Numbers for Set-Valued Random Variables in Gα Space
AUTHORS:
Guan Li
KEYWORDS:
Set-Valued Random Variable, the Laws of Large Numbers, Hausdorff Metric
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.3 No.7,
June
30,
2015
ABSTRACT:
In this paper, we shall represent a strong
law of large numbers (SLLN) for weighted sums of set- valued random variables
in the sense of the Hausdorff metric dH, based on the result of single-valued
random variable obtained by Taylor [1].