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The law of large numbers in locally convex spaces
Authors:V Dobrić
Institution:(1) Department of Mathematics, Lehigh University, Christmas-Saucon Hall 14, 18015 Bethlehem, PA, USA;(2) Present address: Department of Mathematics, FGG- Zagreb, J. Rakuscarone 1, YU-41000 Zagreb, Yugoslavia
Abstract:Summary The law of large numbers is extended to random elements taking values in locally convex spaces. The necessary and sufficient conditions for the law are given in a large class of locally convex spaces, vix. Fscr normed spaces. This class includes, among others, the test function spaces and the distribution spaces.
Keywords:
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