A Glivenko-Cantelli Theorem and Strong Laws for L-Statistics

被引:0
作者
Arup Bose
机构
来源
Journal of Theoretical Probability | 1998年 / 11卷
关键词
Glivenko-Cantelli theorem; strong law; law of iterated logarithm; -statistics;
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摘要
We prove a weighted Glivenko-Cantelli theorem and apply it to study the rate of convergence in the strong law for L-statistics.
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页码:921 / 933
页数:12
相关论文
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  • [1] Bose A.(1994)On some asymptotic properties of Ann. Prob. 23 1715-1724
  • [2] DasGupta R.(1977)-statistics and one sided estimates Ann. Prob. 5 940-953
  • [3] Helmers R.(1975)The order of the normal approximation for linear combinations of order statistics with smooth weight functions Ann. Prob. 3 762-772
  • [4] James B. R.(1972)A functional law of the iterated logarithm for weighted empirical distributions Ann. Math. Statist. 43 412-427
  • [5] Shorack G. R.(1974)Functions of order statistics Ann. Statist. 2 676-693
  • [6] Stigler S. M.(1977)Linear functions of statistics with smooth weight functions Ann. Statist. 5 473-480
  • [7] Wellner J. A.(1977)A Glivenko-Cantelli theorem and strong laws of large numbers for functions of order statistics Ann. Statist. 5 481-494
  • [8] Wellner J. A.(undefined)A low of the iterated logarithm for functions of order statistics undefined undefined undefined-undefined