On the Approximation of Quantile Processes by Kiefer Processes

被引：0
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作者：
Paul Deheuvels
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来源：
Journal of Theoretical Probability | 1998年 / 11卷
关键词：
Empirical processes; quantile processes; order statistics; law of iterated logarithm; almost sure convergence; strong laws; strong invariance principles; strong approximation; Kiefer processes; Wiener processes;
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学科分类号：
摘要：
We prove that the best possible almost sure rate of uniform approximation of a uniform quantile process by a normed Kiefer process is O(n−1/4(log n)1/2× (log log n)1/4).
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页码：997 / 1018
页数：21
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