Multivalued Strong Laws of Large Numbers for Triangular Arrays with Gap Topology
Journal of convex analysis, Tome 27 (2020) no. 4, pp. 1157-1176
We state some strong laws of large numbers for triangular arrays of random sets in separable Banach spaces with the gap topology and with or without compactly uniformly integrable condition.
Classification :
60F15, 60B12, 28B20
Mots-clés : Random set, gap topology, triangular array, compactly uniformly integrable
Mots-clés : Random set, gap topology, triangular array, compactly uniformly integrable
@article{JCA_2020_27_4_JCA_2020_27_4_a4,
author = {D. X. Giap and N. V. Huan and B. N. T. Ngoc and N. V. Quang},
title = {Multivalued {Strong} {Laws} of {Large} {Numbers} for {Triangular} {Arrays} with {Gap} {Topology}},
journal = {Journal of convex analysis},
pages = {1157--1176},
year = {2020},
volume = {27},
number = {4},
url = {http://geodesic.mathdoc.fr/item/JCA_2020_27_4_JCA_2020_27_4_a4/}
}
TY - JOUR AU - D. X. Giap AU - N. V. Huan AU - B. N. T. Ngoc AU - N. V. Quang TI - Multivalued Strong Laws of Large Numbers for Triangular Arrays with Gap Topology JO - Journal of convex analysis PY - 2020 SP - 1157 EP - 1176 VL - 27 IS - 4 UR - http://geodesic.mathdoc.fr/item/JCA_2020_27_4_JCA_2020_27_4_a4/ ID - JCA_2020_27_4_JCA_2020_27_4_a4 ER -
%0 Journal Article %A D. X. Giap %A N. V. Huan %A B. N. T. Ngoc %A N. V. Quang %T Multivalued Strong Laws of Large Numbers for Triangular Arrays with Gap Topology %J Journal of convex analysis %D 2020 %P 1157-1176 %V 27 %N 4 %U http://geodesic.mathdoc.fr/item/JCA_2020_27_4_JCA_2020_27_4_a4/ %F JCA_2020_27_4_JCA_2020_27_4_a4
D. X. Giap; N. V. Huan; B. N. T. Ngoc; N. V. Quang. Multivalued Strong Laws of Large Numbers for Triangular Arrays with Gap Topology. Journal of convex analysis, Tome 27 (2020) no. 4, pp. 1157-1176. http://geodesic.mathdoc.fr/item/JCA_2020_27_4_JCA_2020_27_4_a4/