THE PROBABILITY INEQUALITIES FOR THESUPREME OF THE EMPIRICAL PROCESSESAND APPLICATIONS TO THE TESTINGOF DATA STRUCTURE
Citation：
Zhu Lixing.THE PROBABILITY INEQUALITIES FOR THESUPREME OF THE EMPIRICAL PROCESSESAND APPLICATIONS TO THE TESTINGOF DATA STRUCTURE[J].Chinese Annals of Mathematics B,1991,12(4):445~453
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Authors：
Zhu Lixing;
Abstract：
This paper extends Huberts results and achieves the probability inequalities on the distribution of the Kolmogoroy distance in the worst direction for some distribution class, including the elliptically 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.
