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Estimation of the signal subspace without estimation of the inverse covariance matrix

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  • Panov, Vladimir

Abstract

Let a high-dimensional random vector X can be represented as a sum of two components - a signal S , which belongs to some low-dimensional subspace S, and a noise component N . This paper presents a new approach for estimating the subspace S based on the ideas of the Non-Gaussian Component Analysis. Our approach avoids the technical difficulties that usually exist in similar methods - it doesn't require neither the estimation of the inverse covariance matrix of X nor the estimation of the covariance matrix of N.

Suggested Citation

  • Panov, Vladimir, 2010. "Estimation of the signal subspace without estimation of the inverse covariance matrix," SFB 649 Discussion Papers 2010-050, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    • Handle: RePEc:zbw:sfb649:sfb649dp2010-050
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    20. Fiocco, Raffaele, 2010. "The optimal industry structure in a vertically related market," SFB 649 Discussion Papers 2010-024, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    21. Hautsch, Nikolaus & Hess, Dieter & Veredas, David, 2011. "The impact of macroeconomic news on quote adjustments, noise, and informational volatility," Journal of Banking & Finance, Elsevier, vol. 35(10), pages 2733-2746, October.
    22. Wolfgang Karl Härdle & Yarema Okhrin & Weining Wang, 2015. "Uniform Confidence Bands for Pricing Kernels," Journal of Financial Econometrics, Oxford University Press, vol. 13(2), pages 376-413.
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    24. Schmidt, Sandra & Nautz, Dieter, 2010. "Why do financial market experts misperceive future monetary policy decisions?," SFB 649 Discussion Papers 2010-036, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
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    26. Mengmeng Guo & Wolfgang Karl Härdle, 2017. "Adaptive Interest Rate Modelling," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 36(3), pages 241-256, April.
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    31. Song, Song & Härdle, Wolfgang Karl & Ritov, Ya'acov, 2010. "High dimensional nonstationary time series modelling with generalized dynamic semiparametric factor model," SFB 649 Discussion Papers 2010-039, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    32. Baranovski, Alexander L., 2010. "Dynamical systems forced by shot noise as a new paradigm in the interest rate modeling," SFB 649 Discussion Papers 2010-037, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    33. Okhrin, Ostap, 2010. "Fitting high-dimensional copulae to data," SFB 649 Discussion Papers 2010-022, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
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    9. Nikolaus Hautsch & Peter Malec & Melanie Schienle, 2014. "Capturing the Zero: A New Class of Zero-Augmented Distributions and Multiplicative Error Processes," Journal of Financial Econometrics, Oxford University Press, vol. 12(1), pages 89-121.
    10. Mammen, Enno & Rothe, Christoph & Schienle, Melanie, 2010. "Nonparametric regression with nonparametrically generated covariates," SFB 649 Discussion Papers 2010-059, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
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    12. Sabiwalsky, Ralf, 2010. "Executive compensation regulation and the dynamics of the pay-performance sensitivity," SFB 649 Discussion Papers 2010-051, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.

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    More about this item

    Keywords

    dimension reduction; non-Gaussian components; NGCA;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General

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