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Empirical Processes Techniques for the Spectral Estimation of Fractional Processes

Philippe Soulier ()
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Philippe Soulier: Université d’Evry Val d’Essonne, Département de Mathématiques

A chapter in Empirical Process Techniques for Dependent Data, 2002, pp 299-321 from Springer

Abstract: Abstract Empirical processes techniques have only recently been applied to the spectral analysis of time series. Dahlhaus (1988) and Mikosch and Norvaiša (1997) proved a functional central limit theorem for the empirical spectral measure under weak dependence assumptions. This paper presents new applications of empirical processes techniques to the spectral analysis of time series. Different empirical contrast functions are considered, and applied to strongly dependent processes. Statistical applications are presented, including parametric estimation, goodness-of fit tests and adaptive estimation.

Keywords: Spectral Density; Central Limit Theorem; Gaussian Process; Spectral Estimation; Edgeworth Expansion (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-0099-4_11

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DOI: 10.1007/978-1-4612-0099-4_11

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