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| BERNSTEIN TYPE INEQUALITIES FOR DEGENERATE U-STATISTICS WITH APPLICATIONS |
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Citation： |
Wang Qiying.BERNSTEIN TYPE INEQUALITIES FOR DEGENERATE U-STATISTICS WITH APPLICATIONS[J].Chinese Annals of Mathematics B,1998,19(2):157~166 |
| Page view： 1496
Net amount： 587 |
Authors： |
Wang Qiying; |
Foundation： |
Project supported by the National Natural Science
Foundation of China and the Natural Science Foundation of Jiangsu Province. |
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| Abstract： |
The author discusses Bernstein type inequalities for degenerate $U$-statistics.
As applications of these results, Cramer type large deviations
for studentized $U$-statistics are obtained under mild conditions. |
Keywords： |
$U$-statistics, Large deviation, Bernstein type inequality,
Studentized $U$-statistics |
Classification： |
60F15, 62E20 |
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