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THE PROBABILITY INEQUALITIES FOR THE SUPREME OF THE EMPIRICAL PROCESSES AND APPLICATIONS TO THE TESTING OF DATA STRUCTURE

THE PROBABILITY INEQUALITIES FOR THE SUPREME OF THE EMPIRICAL PROCESSES AND APPLICATIONS TO THE TESTING OF DATA STRUCTURE
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摘要 This paper extends Huber’s results and achieves the probability inequalities on the distribution of the Kolmogorov distance in the worst direction for some distribution elass, including the elliptieally symmetric distrtbution, uniform distribution on square. Combining these results with ohrvik’s results the author argues the testing problem of data structure obtained by projection pursuit technique. This paper extends Huber's results and achieves the probability inequalities on the distribution of the Kolmogorov distance in the worst direction for some distribution class, including the elliptically symmetric distribution, uniform distribution on square. Combining these results with ohrvik's results the author argues the testing problem of data structure obtained by projection pursuit technique.
作者 朱力行
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1991年第4期445-453,共9页 数学年刊(B辑英文版)
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