A PROPAGATION-SEPARATION APPROACH TO ESTIMATE THE AUTOCORRELATION IN A TIME-SERIES

A propagation-separation approach to estimate the autocorrelation in a time-series

A propagation-separation approach to estimate the autocorrelation in a time-series

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The paper presents an approach to estimate parameters of a local stationary AR(1) time series model by maximization of a local likelihood function.The method is based on a propagation-separation procedure that leads to data dependent weights defining here the local model.Using free propagation of weights under homogeneity, the method is capable of separating the time series into intervals of approximate motovox scooter parts local stationarity.

Parameters in different regions will be significantly different.Therefore the method also serves as a test for a stationary AR(1) model.The performance of the method is illustrated by applications to both synthetic data and real time-series of reconstructed NAO and ENSO indices and GRIP stable isotopes.

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