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Transfer functions and conditions for stationarity of bilinear models with gaussian residuals

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Publication:3716144
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DOI10.1098/rspa.1985.0082zbMath0588.62159OpenAlexW2044389444MaRDI QIDQ3716144

Gyorgy H. Terdik

Publication date: 1985

Published in: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1985.0082

zbMATH Keywords

nonlinear time series modelsbilinear modelshigher order spectraGaussian residualsNecessary and sufficient conditions for stationaritytransfer function representations


Mathematics Subject Classification ID

Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Gaussian processes (60G15) Stationary stochastic processes (60G10) Inference from stochastic processes and spectral analysis (62M15)


Related Items

Separable lower triangular bilinear model, Evolutionary transfer functions of bilinear processes with time-varying coefficients, Stationarity in fourth order and the marginal bispectrum for bilinear models with Gaussian residuals, Second-order properties for multiple-bilinear models



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