Strong Laws of Large Numbers for Double Arrays of Independent Set-Valued Random Variables in Banach Spaces
Journal of convex analysis, Tome 19 (2012) no. 1, pp. 141-157
Cet article a éte moissonné depuis la source Heldermann Verlag
We establish some strong laws of large numbers for double arrays of independent set-valued random variables in separable Banach spaces under various conditions.
Classification :
28B20, 60G42, 46A17, 54A20
Mots-clés : Double array, triangular array, strong law of large numbers, independent, compactly uniformly integrable, stochastically dominated, uniformly p-smooth, martingale
Mots-clés : Double array, triangular array, strong law of large numbers, independent, compactly uniformly integrable, stochastically dominated, uniformly p-smooth, martingale
@article{JCA_2012_19_1_JCA_2012_19_1_a7,
author = {V. Q. Nguyen and T. T. Nguyen},
title = {Strong {Laws} of {Large} {Numbers} for {Double} {Arrays} of {Independent} {Set-Valued} {Random} {Variables} in {Banach} {Spaces}},
journal = {Journal of convex analysis},
pages = {141--157},
year = {2012},
volume = {19},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JCA_2012_19_1_JCA_2012_19_1_a7/}
}
TY - JOUR AU - V. Q. Nguyen AU - T. T. Nguyen TI - Strong Laws of Large Numbers for Double Arrays of Independent Set-Valued Random Variables in Banach Spaces JO - Journal of convex analysis PY - 2012 SP - 141 EP - 157 VL - 19 IS - 1 UR - http://geodesic.mathdoc.fr/item/JCA_2012_19_1_JCA_2012_19_1_a7/ ID - JCA_2012_19_1_JCA_2012_19_1_a7 ER -
%0 Journal Article %A V. Q. Nguyen %A T. T. Nguyen %T Strong Laws of Large Numbers for Double Arrays of Independent Set-Valued Random Variables in Banach Spaces %J Journal of convex analysis %D 2012 %P 141-157 %V 19 %N 1 %U http://geodesic.mathdoc.fr/item/JCA_2012_19_1_JCA_2012_19_1_a7/ %F JCA_2012_19_1_JCA_2012_19_1_a7
V. Q. Nguyen; T. T. Nguyen. Strong Laws of Large Numbers for Double Arrays of Independent Set-Valued Random Variables in Banach Spaces. Journal of convex analysis, Tome 19 (2012) no. 1, pp. 141-157. http://geodesic.mathdoc.fr/item/JCA_2012_19_1_JCA_2012_19_1_a7/