%0 Journal Article %T A Berry-Esseen Type Bound for the Kernel Density Estimator of Length-Biased Data %J Journal of Sciences, Islamic Republic of Iran %I University of Tehran %Z 1016-1104 %A Asghari, P. %A Fakoor, V. %A Sarmad, M. %D 2015 %\ 09/01/2015 %V 26 %N 3 %P 265-272 %! A Berry-Esseen Type Bound for the Kernel Density Estimator of Length-Biased Data %K Asymptotic normality %K Berry-Esseen theorem %K Kernel estimator %K Rate of convergence %K Length-biased %R %X 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.  %U https://jsciences.ut.ac.ir/article_55314_84b4409865483c3736c46be5ce3efb54.pdf