Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Islamic Republic of Iran.
Abstract
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.
Asghari, P., Fakoor, V. & Sarmad, M. (2015). A Berry-Esseen Type Bound for the Kernel Density Estimator of Length-Biased Data. Journal of Sciences, Islamic Republic of Iran, 26(3), 265-272.
MLA
Asghari, P., Fakoor, V., & Sarmad, M. "A Berry-Esseen Type Bound for the Kernel Density Estimator of Length-Biased Data", Journal of Sciences, Islamic Republic of Iran, 26, 3, 2015, 265-272.
HARVARD
Asghari P., Fakoor V., Sarmad M. (2015). 'A Berry-Esseen Type Bound for the Kernel Density Estimator of Length-Biased Data', Journal of Sciences, Islamic Republic of Iran, 26(3), pp. 265-272.
CHICAGO
P. Asghari, V. Fakoor & M. Sarmad, "A Berry-Esseen Type Bound for the Kernel Density Estimator of Length-Biased Data," Journal of Sciences, Islamic Republic of Iran, 26 3 (2015): 265-272,
VANCOUVER
Asghari P., Fakoor V., Sarmad M. A Berry-Esseen Type Bound for the Kernel Density Estimator of Length-Biased Data. J. Sci. I. R. I. 2015;26(3):265-272.
Journal of Sciences, Islamic Republic of Iran