On the rate of convergence of the maximum like-lihood estimator of a k-monotone density.
نویسندگان
چکیده
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 L(p)(Q) distance, where 1 ≤ p < ∞ and Q is a probability measure on [0, A]. The result is then applied to obtain the rate of convergence of the maximum likelihood estimator of a k-monotone density.
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ورودعنوان ژورنال:
- Science in China. Series A, Mathematics
دوره 52 7 شماره
صفحات -
تاریخ انتشار 2009