Limits of canonicalU-processes andB-valuedU-statistics |
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| Authors: | M. A. Arcones |
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| Affiliation: | (1) Department of Mathematics, University of Utah, 84112 Salt Lake City, Utah |
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| Abstract: | It is shown that the limite law of canonicalU-process is the law of a chaos process which has a versio with bounded and  ·2 continuous paths. This is also true forB-valued canonicalU-statistics with values in a separable Banach space. Some properties of Banach spaces of type 2 related withU-statistics are presented.Research partially supported by NSF Grants No. DMS-9000132 and No. DMS-8505550 and carried out in the University of Connecticut and the MSRI. |
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| Keywords: | U-statistics chaos type 2 decoupling |
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