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On the Kaplan–Meier Estimator of Long-Range Dependent Sequences
Authors:Leonenko  Nikolai N  Sakhno  Ludmila M
Institution:(1) School of Mathematics, Cardiff University, Senghennydd Road, Cardiff, CF2 4YH, U.K.;(2) Department of Mechanics and Mathematics, Kyiv University (National), Volodymyrska 64, 252033 Kyiv, Ukraine
Abstract:The limiting distributions are obtained for the Kaplan–Meier estimator of unknown distribution function of stationary time series of the form G(X j), where X j is stationary Gaussian process with long-range dependence and G(·) is non-random function.
Keywords:long-range dependence  censoring  Kaplan–  Meier estimator  limiting distribution  multiple Wiener–  Itô  integrals
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