Geodesic
On the Strong Law of Large Numbers in Spaces of Compact Sets
Journal of convex analysis, Tome 18 (2011) no. 1, pp. 285-3 
F. S. de Blasi; L. Tomassini. On the Strong Law of Large Numbers in Spaces of Compact Sets. Journal of convex analysis, Tome 18 (2011) no. 1, pp. 285-3. http://geodesic.mathdoc.fr/item/JCA_2011_18_1_JCA_2011_18_1_a15/
@article{JCA_2011_18_1_JCA_2011_18_1_a15,
     author = {F. S. de Blasi and L. Tomassini},
     title = {On the {Strong} {Law} of {Large} {Numbers} in {Spaces} of {Compact} {Sets}},
     journal = {Journal of convex analysis},
     pages = {285--3},
     year = {2011},
     volume = {18},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JCA_2011_18_1_JCA_2011_18_1_a15/}
}
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Voir la notice de l'article provenant de la source Heldermann Verlag

\def\bE{{\mathbb E}} \def\bR{{\mathbb R}} \def\cK{{\cal K}} \def\fY{{\mathfrak Y}} Let $\fY$ be the space of all nonempty compact subsets of $\bR^d$ and let $\cK(\fY)$ be the space of all nonempty compact subsets of $\fY$. For a random set with values in $\cK(\fY)$, after defining the expectation, we establish a version of the strong law of large numbers. Some related results concerning the case of nonempty compact convex subsets of a Banach space $\bE$ are included.