(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(Xj), where Xj is stationary Gaussian process with long-range dependence and G(·) is non-random function.