Journal of Convex Analysis 19 (2012), No. 1, 141--157
Copyright Heldermann Verlag 2012
Strong Laws of Large Numbers for Double Arrays of Independent Set-Valued Random Variables in Banach Spaces
Van Quang Nguyen
Dept. of Mathematics, Vinh University, Nghe An Province, Viet Nam
nvquang@hotmail.com
Tran Thuan Nguyen
Dept. of Mathematics, Vinh University, Nghe An Province, Viet Nam
tranthuandhv@gmail.com
We establish some strong laws of large numbers for double arrays of independent set-valued random variables in separable Banach spaces under various conditions.
Keywords: Double array, triangular array, strong law of large numbers, independent, compactly uniformly integrable, stochastically dominated, uniformly p-smooth, martingale.
MSC: 28B20, 60G42, 46A17, 54A20
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