Geodesic
Some Strong Laws of Large Numbers for Double Arrays of Random Sets with Gap Topology
Journal of convex analysis, Tome 26 (2019) no. 3, pp. 719-738
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The aim of this paper is to state some strong laws of large numbers for a double array of independent (or pairwise independent) random sets with the gap topology under various settings. Our results improve some previously reported results. Some illustrative examples are provided.
Classification : 60F15, 60B12, 28B20
Mots-clés : Random set, gap topology, double array, compactly uniformly integrable in the Cesaro sense 
@article{JCA_2019_26_3_JCA_2019_26_3_a1,
     author = {N. V. Quang and D. X. Giap and B. N. T. Ngoc and T.-C. Hu},
     title = {Some {Strong} {Laws} of {Large} {Numbers} for {Double} {Arrays} of {Random} {Sets} with {Gap} {Topology}},
     journal = {Journal of convex analysis},
     pages = {719--738},
     year = {2019},
     volume = {26},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JCA_2019_26_3_JCA_2019_26_3_a1/}
}
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N. V. Quang; D. X. Giap; B. N. T. Ngoc; T.-C. Hu. Some Strong Laws of Large Numbers for Double Arrays of Random Sets with Gap Topology. Journal of convex analysis, Tome 26 (2019) no. 3, pp. 719-738. http://geodesic.mathdoc.fr/item/JCA_2019_26_3_JCA_2019_26_3_a1/