a berry-esseen type bound for the kernel density estimator of length-biased data

نویسندگان

p. asghari

v. fakoor

m. sarmad

چکیده

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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عنوان ژورنال:
journal of sciences, islamic republic of iran

ناشر: university of tehran

ISSN 1016-1104

دوره 26

شماره 3 2015

میزبانی شده توسط پلتفرم ابری doprax.com

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