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LARGE DEVIATION FOR EMPIRICAL FIELD OF A SYMMETRIC MEASURE

LARGE DEVIATION FOR EMPIRICAL FIELD OF A SYMMETRIC MEASURE
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摘要 This paper discusses the large deviation for the empirical field of a symmetricmeasure.The lower bound of the large deviation is obtained by extending the classcal Shannon-McMillan theorem. The upper bound is established by means of Legendre transformation and the minimax theorem. This paper discusses the large deviation for the empirical field of a symmetricmeasure.The lower bound of the large deviation is obtained by extending the classcal Shannon-McMillan theorem. The upper bound is established by means of Legendre transformation and the minimax theorem.
作者 吴黎明
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1991年第3期348-357,共10页 数学年刊(B辑英文版)
基金 This research is supported by the National Postdoctoral Science Fund
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