IDEAS home Printed from https://ideas.repec.org/p/zbw/sfb649/sfb649dp2010-050.html
   My bibliography  Save this paper

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://www.econstor.eu/bitstream/10419/56723/1/637061039.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Härdle, Wolfgang Karl & Ritov, Ya'acov & Song, Song, 2010. "Partial linear quantile regression and bootstrap confidence bands," SFB 649 Discussion Papers 2010-002, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    2. Hecht, Carolin & Hanewald, Katja, 2010. "Sociodemographic, economic, and psychological drivers of the demand for life insurance: Evidence from the German Retirement Income Act," SFB 649 Discussion Papers 2010-034, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    3. Hautsch, Nikolaus & Yang, Fuyu, 2010. "Bayesian inference in a stochastic volatility Nelson-Siegel Model," SFB 649 Discussion Papers 2010-004, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    4. Burnecki, Krzysztof & Janczura, Joanna & Weron, Rafal, 2010. "Building Loss Models," MPRA Paper 25492, University Library of Munich, Germany.
    5. Yao, Fang, 2010. "Aggregate hazard function in price-setting: A bayesian analysis using macro data," SFB 649 Discussion Papers 2010-020, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    6. Härdle, Wolfgang Karl & Chen, Ying & Schulz, Rainer, 2004. "Prognose mit nichtparametrischen Verfahren," Papers 2004,07, Humboldt University of Berlin, Center for Applied Statistics and Economics (CASE).
    7. Borak, Szymon & Misiorek, Adam & Weron, Rafał, 2010. "Models for heavy-tailed asset returns," SFB 649 Discussion Papers 2010-049, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    8. Agnieszka Janek & Tino Kluge & Rafal Weron & Uwe Wystup, 2010. "FX Smile in the Heston Model," HSC Research Reports HSC/10/02, Hugo Steinhaus Center, Wroclaw University of Technology.
    9. Nikolaus Hautsch & Mark Podolskij, 2013. "Preaveraging-Based Estimation of Quadratic Variation in the Presence of Noise and Jumps: Theory, Implementation, and Empirical Evidence," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 31(2), pages 165-183, April.
    10. 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.
    11. Michael C. Burda & Mark Weder, 2016. "Payroll Taxes, Social Insurance, And Business Cycles," Journal of the European Economic Association, European Economic Association, vol. 14(2), pages 438-467, April.
    12. Horst, Ulrich & Naujokat, Felix, 2010. "Illiquidity and derivative valuation," SFB 649 Discussion Papers 2010-011, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    13. 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.
    14. Kappus, Johanna & Reiß, Markus, 2010. "Estimation of the characteristics of a Lévy process observed at arbitrary frequency," SFB 649 Discussion Papers 2010-015, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    15. 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.
    16. Post, Thomas & Hanewald, Katja, 2010. "Stochastic mortality, subjective survival expectations, and individual saving behavior," SFB 649 Discussion Papers 2010-040, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    17. Hautsch, Nikolaus & Yang, Fuyu, 2012. "Bayesian inference in a Stochastic Volatility Nelson–Siegel model," Computational Statistics & Data Analysis, Elsevier, vol. 56(11), pages 3774-3792.
    18. Abbassi, Puriya & Nautz, Dieter, 2010. "Monetary transmission right from the start: The (dis)connection netween the money market and the ECB's main refinancing rates," Discussion Papers 2010/7, Free University Berlin, School of Business & Economics.
    19. Horst, Ulrich & Moreno-Bromberg, Santiago, 2010. "Efficiency and equilibria in games of optimal derivative design," SFB 649 Discussion Papers 2010-035, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    20. Panov, Vladimir, 2010. "Non-gaussian component analysis: New ideas, new proofs, new applications," SFB 649 Discussion Papers 2010-026, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    21. Fasten, Erik R. & Hofmann, Dirk, 2010. "Two-sided Certification: The market for Rating Agencies," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 338, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
    22. Kappus, Johanna & Reiß, Markus, 2011. "Estimation of the characteristics of a Lévy process observed at arbitrary frequency," SFB 649 Discussion Papers 2011-027, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    23. Horst, Ulrich & Pirvu, Traian A. & Dos Reis, Gonçalo, 2010. "On securitization, market completion and equilibrium risk transfer," SFB 649 Discussion Papers 2010-010, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    24. Fasten, Erik R. & Hofmann, Dirk, 2010. "Two-sided certification: The market for rating agencies," SFB 649 Discussion Papers 2010-007, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    25. Binzel, Christine & Fehr, Dietmar, 2010. "Social relationships and trust," SFB 649 Discussion Papers 2010-028, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    26. Scheffel, Juliane, 2010. "Honey, I'll be working late tonight. The effect of individual work routines on leisure time synchronization of couples," SFB 649 Discussion Papers 2010-016, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    27. 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.
    28. Motoaki Kawanabe & Masashi Sugiyama & Gilles Blanchard & Klaus-Robert Müller, 2007. "A new algorithm of non-Gaussian component analysis with radial kernel functions," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 59(1), pages 57-75, March.
    29. Mengmeng Guo & Wolfgang Karl Härdle, 2017. "Adaptive Interest Rate Modelling," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 36(3), pages 241-256, April.
    30. Basteck, Christian & Daniëls, Tijmen R. & Heinemann, Frank, 2010. "Characterising equilibrium selection in global games with strategic complementarities," SFB 649 Discussion Papers 2010-008, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    31. Härdle, Wolfgang Karl & Silyakova, Elena, 2010. "Volatility investing with variance swaps," SFB 649 Discussion Papers 2010-001, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    32. Ulrich Horst & Felix Naujokat, 2008. "Illiquidity and Derivative Valuation," Papers 0901.0091, arXiv.org.
    33. repec:diw:diwwpp:dp1007 is not listed on IDEAS
    34. 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.
    35. Basteck, Christian & Daniëls, Tijmen R. & Heinemann, Frank, 2013. "Characterising equilibrium selection in global games with strategic complementarities," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2620-2637.
    36. 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.
    37. Okhrin, Ostap, 2010. "Fitting high-dimensional copulae to data," SFB 649 Discussion Papers 2010-022, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    38. Binzel, Christine & Fehr, Dietmar, 2010. "Social relationships and trust," SFB 649 Discussion Papers 2010-028, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Basteck, Christian & Daniëls, Tijmen R., 2010. "Every symmetric 3 x 3 global game of strategic complementarities is noise independent," SFB 649 Discussion Papers 2010-061, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    2. repec:hum:wpaper:sfb649dp2010-061 is not listed on IDEAS
    3. repec:hum:wpaper:sfb649dp2010-059 is not listed on IDEAS
    4. Schulze, Franziska, 2010. "Spatial dependencies in German matching functions," SFB 649 Discussion Papers 2010-054, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    5. repec:hum:wpaper:sfb649dp2010-056 is not listed on IDEAS
    6. Wiebach, Nicole & Hildebrandt, Lutz, 2010. "Context effects as customer reaction on delisting of brands," SFB 649 Discussion Papers 2010-056, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    7. repec:hum:wpaper:sfb649dp2010-055 is not listed on IDEAS
    8. repec:hum:wpaper:sfb649dp2010-054 is not listed on IDEAS
    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.
    11. repec:hum:wpaper:sfb649dp2010-051 is not listed on IDEAS
    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. repec:hum:wpaper:sfb649dp2010-050 is not listed on IDEAS
    2. Basteck, Christian & Daniëls, Tijmen R., 2010. "Every symmetric 3 x 3 global game of strategic complementarities is noise independent," SFB 649 Discussion Papers 2010-061, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    3. repec:hum:wpaper:sfb649dp2010-061 is not listed on IDEAS
    4. repec:hum:wpaper:sfb649dp2010-059 is not listed on IDEAS
    5. repec:hum:wpaper:sfb649dp2010-055 is not listed on IDEAS
    6. 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.
    7. repec:hum:wpaper:sfb649dp2010-054 is not listed on IDEAS
    8. 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.
    9. repec:hum:wpaper:sfb649dp2010-051 is not listed on IDEAS
    10. 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.
    11. Schulze, Franziska, 2010. "Spatial dependencies in German matching functions," SFB 649 Discussion Papers 2010-054, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    12. repec:hum:wpaper:sfb649dp2010-056 is not listed on IDEAS
    13. Wiebach, Nicole & Hildebrandt, Lutz, 2010. "Context effects as customer reaction on delisting of brands," SFB 649 Discussion Papers 2010-056, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    14. Borak, Szymon & Misiorek, Adam & Weron, Rafał, 2010. "Models for heavy-tailed asset returns," SFB 649 Discussion Papers 2010-049, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    15. repec:hum:wpaper:sfb649dp2010-049 is not listed on IDEAS
    16. Grith, Maria & Krätschmer, Volker, 2010. "Parametric estimation of risk neutral density functions," SFB 649 Discussion Papers 2010-045, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    17. repec:hum:wpaper:sfb649dp2010-047 is not listed on IDEAS
    18. repec:hum:wpaper:sfb649dp2010-045 is not listed on IDEAS
    19. Janek, Agnieszka & Kluge, Tino & Weron, Rafał & Wystup, Uwe, 2010. "FX smile in the Heston model," SFB 649 Discussion Papers 2010-047, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    20. repec:hum:wpaper:sfb649dp2010-037 is not listed on IDEAS
    21. Horst, Ulrich & Moreno-Bromberg, Santiago, 2010. "Efficiency and equilibria in games of optimal derivative design," SFB 649 Discussion Papers 2010-035, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    22. 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.
    23. repec:hum:wpaper:sfb649dp2010-035 is not listed on IDEAS
    24. repec:hum:wpaper:sfb649dp2010-034 is not listed on IDEAS
    25. repec:hum:wpaper:sfb649dp2010-032 is not listed on IDEAS
    26. Hecht, Carolin & Hanewald, Katja, 2010. "Sociodemographic, economic, and psychological drivers of the demand for life insurance: Evidence from the German Retirement Income Act," SFB 649 Discussion Papers 2010-034, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    27. Härdle, Wolfgang Karl & Moro, Rouslan A. & Hoffmann, Linda, 2010. "Learning machines supporting bankruptcy prediction," SFB 649 Discussion Papers 2010-032, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    28. repec:hum:wpaper:sfb649dp2010-048 is not listed on IDEAS
    29. Burnecki, Krzysztof & Janczura, Joanna & Weron, Rafal, 2010. "Building Loss Models," MPRA Paper 25492, University Library of Munich, Germany.
    30. Magdalena Weglarz & Agnieszka Wylomanska, 2010. "Optimal bidding strategies on the power market based on the stochastic models," HSC Research Reports HSC/10/06, Hugo Steinhaus Center, Wroclaw University of Technology.
    31. Adam Misiorek & Rafal Weron, 2010. "Heavy-tailed distributions in VaR calculations," HSC Research Reports HSC/10/05, Hugo Steinhaus Center, Wroclaw University of Technology.
    32. Eric J. Hoffmann & Tarun Sabarwal, 2019. "Equilibrium existence in global games with general payoff structures," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(1), pages 105-115, May.
    33. Reiß, Markus, 2013. "Testing the characteristics of a Lévy process," Stochastic Processes and their Applications, Elsevier, vol. 123(7), pages 2808-2828.
    34. repec:hum:wpaper:sfb649dp2011-042 is not listed on IDEAS
    35. Hong, Zhiwu & Niu, Linlin & Zhang, Chen, 2022. "Affine arbitrage-free yield net models with application to the euro debt crisis," Journal of Econometrics, Elsevier, vol. 230(1), pages 201-220.
    36. P. Byrne, Joseph & Cao, Shuo & Korobilis, Dimitris, 2015. "Term Structure Dynamics, Macro-Finance Factors and Model Uncertainty," SIRE Discussion Papers 2015-71, Scottish Institute for Research in Economics (SIRE).

    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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:zbw:sfb649:sfb649dp2010-050. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: ZBW - Leibniz Information Centre for Economics (email available below). General contact details of provider: https://edirc.repec.org/data/sohubde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.