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U-statistics in danach spaces
Authors:Yuri Borovskikh
Institution:(1) Department of Applied Mathematics, Transport University, Moskovsky Avenue, 9, 190031 St. Petersburg, Russia
Abstract:U-statistics in Banach spaces are considered and thoroughly investigated. The martingale structure, estimates of moments, the law of large numbers, the central limit theorem, the invariance principle, estimates of the rate of convergence, and large deviations are established
Keywords:60F05  62D05
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