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A Berry-Esseen Type Bound for the Kernel Density Estimator of Length-Biased Data
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نویسنده
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Asghari P. ,Fakoor V. ,Sarmad M.
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منبع
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journal of sciences islamic republic of iran - 2015 - دوره : 26 - شماره : 3 - صفحه:265 -272
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چکیده
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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.
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کلیدواژه
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Asymptotic normality ,Berry-Esseen theorem ,Kernel estimator ,Rate of convergence ,Length-biased.
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آدرس
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ferdowsi university of mashhad, ایران, ferdowsi university of mashhad, ایران, ferdowsi university of mashhad, ایران
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Authors
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