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Asymptotic normality of cumulant spectral estimates

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Publication:753370
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DOI10.1007/BF01045168zbMath0716.62094OpenAlexW1999961229MaRDI QIDQ753370

Murray Rosenblatt, Keh-Shin Lii

Publication date: 1990

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01045168


zbMATH Keywords

Fourier transformasymptotic normalitysubmanifoldscumulant spectral densityhigher-order cumulant spectral estimatesstationary strong mixing processunbiased moment estimatesweighted cumulant estimates


Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Inference from stochastic processes and spectral analysis (62M15)


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DETECTING SINUSOIDS IN NON-GAUSSIAN NOISE ⋮ Quadratic prediction of time series via auto-cumulants ⋮ Higher-order accurate polyspectral estimation with flat-top lag-windows



Cites Work

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  • Asymptotic normality, strong mixing and spectral density estimates
  • Nonminimum phase non-Gaussian deconvolution
  • Asymptotic Normality of Bispectral Estimates
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