The law of large numbers in locally convex spaces |
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Authors: | V Dobrić |
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Institution: | (1) Department of Mathematics, Lehigh University, Christmas-Saucon Hall 14, 18015 Bethlehem, PA, USA;(2) Present address: Department of Mathematics, FGG- Zagreb, J. Rakue 1, YU-41000 Zagreb, Yugoslavia |
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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. normed spaces. This class includes, among others, the test function spaces and the distribution spaces. |
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