A Berry-Esseen Type Bound for the Kernel Density Estimator of Length-Biased Data
نویسندگان
چکیده مقاله:
Length-biased data are widely seen in applications. They are mostly applicable in epidemiological studies or survival analysis in medical researches. Here we aim to propose a Berry-Esseen type bound for the kernel density estimator of this kind of data.The rate of normal convergence in the proposed Berry-Esseen type theorem is shown to be O(n^(-1/6) ) modulo logarithmic term as n tends to infinity by a proper choice of the bandwidth.The results of a simulation study is also presented in this paper inorder to examine the performance of the result.
منابع مشابه
a berry-esseen type bound for the kernel density estimator of length-biased data
length-biased data are widely seen in applications. they are mostly applicable in epidemiological studies or survival analysis in medical researches. here we aim to propose a berry-esseen type bound for the kernel density estimator of this kind of data.the rate of normal convergence in the proposed berry-esseen type theorem is shown to be o(n^(-1/6) ) modulo logarithmic term as n tends to infin...
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عنوان ژورنال
دوره 26 شماره 3
صفحات 265- 272
تاریخ انتشار 2015-09-01
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