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NONPARAMETRIC AUTOCOVARIANCE FUNCTION ESTIMATION
Authors:RJ Hyndman  MP Wand
Institution:Monash University and University of NSW
Abstract:Nonparametric estimators of autocovariance functions for non-stationary time series are developed. The estimators are based on straightforward nonparametric mean function estimation ideas and allow use of any linear smoother (e.g. smoothing spline, local polynomial). The paper studies the properties of the estimators, and illustrates their usefulness through application to some meteorological and seismic time series.
Keywords:Bandwidth  correlated errors  kernel smoothing  local polynomial  nonparametric regression  non-stationary model  time series
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