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Nonparametric Regression with Nonparametrically Generated Covariates

  • Enno Mammen
  • Christoph Rothe
  • Melanie Schienle

We analyze the properties of non- and semiparametric estimation procedures involving nonparametric regression with generated covariates. Such estimators appear in numerous econometric applications, including nonparametric estimation of simultaneous equation models, sample selection models, treatment effect models, and censored regression models, but so far there seems to be no unified theory to establish their statistical properties. Our paper provides such results, allowing to establish asymptotic properties like rates of consistency or asymptotic normality for a wide range of semi- and nonparametric estimators. We also show how to account for the presence of nonparametrically generated regressors when computing standard errors.

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File URL: http://sfb649.wiwi.hu-berlin.de/papers/pdf/SFB649DP2010-059.pdf
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Paper provided by Sonderforschungsbereich 649, Humboldt University, Berlin, Germany in its series SFB 649 Discussion Papers with number SFB649DP2010-059.

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Length: 48 pages
Date of creation: Dec 2010
Date of revision:
Handle: RePEc:hum:wpaper:sfb649dp2010-059
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  1. Wolfgang Karl Härdle & Yarema Okhrin & Weining Wang, 2010. "Uniform confidence bands for pricing kernels," SFB 649 Discussion Papers SFB649DP2010-003, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  2. Ulrich Horst & Traian A. Pirvu & Gonçalo Dos Reis, 2010. "On Securitization, Market Completion and Equilibrium Risk Transfer," SFB 649 Discussion Papers SFB649DP2010-010, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  3. Janek, Agnieszka & Kluge, Tino & Weron, Rafal & Wystup, Uwe, 2010. "FX Smile in the Heston Model," MPRA Paper 25491, University Library of Munich, Germany.
  4. Christian Basteck & Tijmen R. Daniëls & Frank Heinemann, 2010. "Characterising Equilibrium Selection in Global Games with Strategic Complementarities," SFB 649 Discussion Papers SFB649DP2010-008, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  5. Nikolaus Hautsch & Mark Podolskij, 2010. "Pre-Averaging Based Estimation of Quadratic Variation in the Presence of Noise and Jumps: Theory, Implementation, and Empirical Evidence," SFB 649 Discussion Papers SFB649DP2010-038, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  6. Thomas Post & Katja Hanewald, 2010. "Stochastic Mortality, Subjective Survival Expectations, and Individual Saving Behavior," SFB 649 Discussion Papers SFB649DP2010-040, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  7. Sandra Schmidt & Dieter Nautz, 2010. "Why Do Financial Market Experts Misperceive Future Monetary Policy Decisions?," SFB 649 Discussion Papers SFB649DP2010-036, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  8. Vladimir Panov, 2010. "Non-Gaussian Component Analysis: New Ideas, New Proofs, New Applications," SFB 649 Discussion Papers SFB649DP2010-026, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  9. Fiocco Raffaele, 2013. "The Optimal Institutional Design of Vertically Related Markets with Unknown Upstream Costs," Review of Network Economics, De Gruyter, vol. 12(2), pages 183-210, June.
  10. Mark Weder & Michael Burda, 2010. "Payroll Taxes, Social Insurance and Business Cycles," 2010 Meeting Papers 781, Society for Economic Dynamics.
  11. Nikolaus Hautsch & Peter Malec & Melanie Schienle, 2013. "Capturing the Zero: A New Class of Zero-Augmented Distributions and Multiplicative Error Processes," Journal of Financial Econometrics, Society for Financial Econometrics, vol. 12(1), pages 89-121, December.
  12. Maria Grith & Wolfgang Karl Härdle & Melanie Schienle, 2010. "Nonparametric Estimation of Risk-Neutral Densities," SFB 649 Discussion Papers SFB649DP2010-021, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  13. Ulrich Horst & Felix Naujokat, 2008. "Illiquidity and Derivative Valuation," Papers 0901.0091, arXiv.org.
  14. Sascha S. Becker & Dieter Nautz, 2010. "Inflation, Price Dispersion and Market Integration through the Lens of a Monetary Search Model," SFB 649 Discussion Papers SFB649DP2010-058, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  15. Szymon Borak & Adam Misiorek & Rafał Weron, 2010. "Models for Heavy-tailed Asset Returns," SFB 649 Discussion Papers SFB649DP2010-049, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  16. Juliane Scheffel, 2010. "Honey, I’ll Be Working Late Tonight. The Effect of Individual Work Routines on Leisure Time Synchronization of Couples," SFB 649 Discussion Papers SFB649DP2010-016, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  17. Hautsch, Nikolaus & Hess, Dieter E. & Veredas, David, 2011. "The impact of macroeconomic news on quote adjustments, noise, and informational volatility," CFR Working Papers 11-06, University of Cologne, Centre for Financial Research (CFR).
  18. 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.
  19. Wolfgang Karl Härdle & Elena Silyakova, 2010. "Volatility Investing with Variance Swaps," SFB 649 Discussion Papers SFB649DP2010-001, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  20. Ostap Okhrin & Martin Odening & Wei Xu, 2013. "Systemic Weather Risk and Crop Insurance: The Case of China," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 80(2), pages 351-372, 06.
  21. Johanna Kappus & Markus Reiß, 2011. "Estimation of the characteristics of a Lévy process observed at arbitrary frequency," SFB 649 Discussion Papers SFB649DP2011-027, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  22. Fang Yao, 2010. "Aggregate Hazard Function in Price-Setting: A Bayesian Analysis Using Macro Data," SFB 649 Discussion Papers SFB649DP2010-020, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  23. Denis Belomestny & Volker Krätschmer, 2010. "Central limit theorems for law-invariant coherent risk measures," SFB 649 Discussion Papers SFB649DP2010-052, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  24. Burnecki, Krzysztof & Janczura, Joanna & Weron, Rafal, 2010. "Building Loss Models," MPRA Paper 25492, University Library of Munich, Germany.
  25. 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.
  26. Ulrich Horst & Santiago Moreno-Bromberg, 2010. "Efficiency and Equilibria in Games of Optimal Derivative Design," SFB 649 Discussion Papers SFB649DP2010-035, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  27. Wolfgang Karl Härdle & Rainer Schulz & Weining Wang, 2010. "Prognose mit nichtparametrischen Verfahren," SFB 649 Discussion Papers SFB649DP2010-041, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  28. Mengmeng Guo & Wolfgang Karl Härdle, 2010. "Adaptive Interest Rate Modelling," SFB 649 Discussion Papers SFB649DP2010-029, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
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