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An Estimator for the Spectral Density of a Stationary Time Sequence

A. C. Butcher

The Annals of Statistics · 1977 · Volume 5 · Issue 3

DOI: 10.1214/aos/1176343852

Abstract

An estimator for the spectral density of a stationary time sequence is introduced. The form of the estimator is motivated by the analogy with the summability theory of Fourier series. A theorem relating to rate of consistency is proved. The effect of a mean correction is considered.

Keywords

62M15, rate of consistency, Spectral density, stationary time series

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