The central limit problem for,infinite products of,and Lévy processes of renewal sequences |
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Authors: | Bert Fristedt |
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Institution: | (1) School of Mathematics, University of Minnesota, 55455 Minneapolis, Minnesota, USA |
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Abstract: | Summary Necessary and sufficient conditions are obtained for: (i) convergence of row products from a null triangular array of renewal sequences to a particular renewal sequence and (ii) convergence of an infinite product of renewal sequences to a non-trivial limit. These products correspond to intersections of regenerative phenomena of integers. Lévy processes of such regenerative phenomena are constructed.Research partially supported by National Science Foundation Grant MCS 78-01168 |
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