On decoupling,series expansions,and tail behavior of chaos processes |
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Authors: | Miguel A Arcones Evarist Giné |
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Institution: | (1) Department of Mathematics, University of Utah, 84112 Salt Lake City, Utah;(2) Department of Mathematics, U-9, University of Connecticut, 06269 Storrs, Connecticut |
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Abstract: | Some important aspects of chaos random variables such as decoupling, an almost sure representation (a Karhunen-Loeve expansion) and integrability are discussed here, the first being a tool for, and the third as a consequence of, the second. The main goal in this note is to learn about the structure of the limit laws ofU-processes.Research partially supported by National Science Foundation Grant No. DMS-9000132 and University of Connecticut Grant No. G12-913501. |
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Keywords: | Chaos processes decoupling Karhunen-Loeve expansion Gaussian processes U-processes |
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