Weighted uniform consistency of kernel density estimators with general bandwidth sequences
نویسندگان
چکیده
منابع مشابه
Weighted Uniform Consistency of Kernel Density Estimators
Let fn denote a kernel density estimator of a continuous density f in d dimensions, bounded and positive. Let (t) be a positive continuous function such that ‖ f β‖∞ < ∞ for some 0 < β < 1/2. Under natural smoothness conditions, necessary and sufficient conditions for the sequence √ nhn 2| loghn | ‖ (t)(fn(t)−Efn(t))‖∞ to be stochastically bounded and to converge a.s. to a constant are obtained...
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ژورنال
عنوان ژورنال: Electronic Journal of Probability
سال: 2006
ISSN: 1083-6489
DOI: 10.1214/ejp.v11-354