Random permanents and symmetric statistics |
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Authors: | Yuri V Borovskikh Vladimir S Korolyuk |
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Institution: | (1) Department of Applied Mathematics, Transport University, Moskovsky Ave. 9, 190031 St. Petersburg, Russia;(2) Institute of Mathematics, Repin St. 3, 252601 Kiev 4, Ukraine |
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Abstract: | Permanents of matrices with random elements are studied. For random permanents of finitedimensional projection matrices, new limiting results are obtained in different asymptotic schemes. The principal statistical functionals such asU-statistics, symmetric statistics, and others, are represented as functionals of permanent measures.Part of this research was supported by the Fund for Fundamental Researches of Ukrainian State Committee of Science and Technology. |
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Keywords: | 60F05 62D05 |
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