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5. On the rate of convergence of the maximum likelihood estimator of a k-monotone density

On the rate of convergence of the maximum likelihood estimator of a k-monotone density

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：hongxing35

【摘 要】

：

Bounds for the bracketing entropy of the classes of bounded k-monotone functions on [0,A] are obtained under both the Hellinger distance and the Lp(Q) distance,

【作 者】

：

WELLNER Jon A 

【机 构】

：

DepartmentofStatistics

【出 处】

：

中国科学：数学英文版

【发表日期】

：

2009年7期

【关键词】

：

bracketing metric ENTROPY MAXIMUM LIKELIHOOD ESTIMATOR Hellinger DISTANCE bracke 

【基金项目】

：

supported by National Science Foundation of USA (Grant No.DMS-0405855,DMS-0804587)

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Bounds for the bracketing entropy of the classes of bounded k-monotone functions on [0,A] are obtained under both the Hellinger distance and the Lp(Q) distance,where 1 p 【 ∞ and Q is a probability measure on [0,A].The result is then applied to obtain the

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