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Asymptotic distribution for periodograms of infinite dimensional discrete time periodically correlated processes

Z. Shishebor, A.R. Soltani and A. Zamani

Journal of Multivariate Analysis, 2011, vol. 102, issue 7, 1118-1125

Abstract: In this article we shall consider a class of strongly T-periodically correlated processes with values in a separable complex Hilbert space . The periodograms of these processes and their statistical properties were previously studied by the authors. In this paper we derive the asymptotic distribution of the periodogram, that appears to be a certain Wishart distribution on .

Keywords: Hilbert; space-valued; processes; Strong; second; order; processes; Periodically; correlated; Finite; Fourier; transforms; Periodogram; Asymptotic; distribution (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (3)

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