The Generalised Autocovariance Function

Tommaso Proietti and Alessandra Luati ()
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Alessandra Luati: University of Bologna

No 276, CEIS Research Paper from Tor Vergata University, CEIS

Abstract: The generalised autocovariance function is defined for a stationary stochastic process as the inverse Fourier transform of the power transformation of the spectral density function. Depending on the value of the transformation parameter, this function nests the inverse and the traditional autocovariance functions. A frequency domain non-parametric estimator based on the power transformation of the pooled periodogram is considered and its asymptotic distribution is derived. The results are employed to construct classes of tests of the white noise hypothesis, for clustering and discrimination of stochastic processes and to introduce a novel feature matching estimator of the spectrum.

Keywords: Stationary; Gaussian; processes.; Non-parametric; spectral; estimation.; White; noise; tests.; Feature; matching.; Discriminant; Analysis (search for similar items in EconPapers)
Pages: 33 pages
Date: 2013-04-30, Revised 2013-04-30
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Related works:
Journal Article: The generalised autocovariance function (2015)
Working Paper: The Generalised Autocovariance Function (2012)
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