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Quantile Sieve Estimates For Time Series

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Author Info
Jürgen Franke
Jean-Pierre Stockis
Joseph Tadjuidje
Abstract

We consider the problem of estimating the conditional quantile of a time series at time t given observations of the same and perhaps other time series available at time t - 1. We discuss sieve estimates which are a nonparametric versions of the Koenker-Bassett regression quantiles and do not require the specification of the innovation law. We prove consistency of those estimates and illustrate their good performance for light- and heavy-tailed distributions of the innovations with a small simulation study. As an economic application, we use the estimates for calculating the value at risk of some stock price series.

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File URL: http://sfb649.wiwi.hu-berlin.de/papers/pdf/SFB649DP2007-005.pdf
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Publisher Info
Paper provided by Sonderforschungsbereich 649, Humboldt University, Berlin, Germany in its series SFB 649 Discussion Papers with number SFB649DP2007-005.

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Length: 26 pages
Date of creation: Feb 2007
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Handle: RePEc:hum:wpaper:sfb649dp2007-005

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Related research
Keywords: Conditional Quantile; Time Series; Sieve Estimate; Neural Network; Qualitative Threshold Model; Uniform Consistency; Value at Risk;

Find related papers by JEL classification:
C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Semiparametric and Nonparametric Methods
C45 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Neural Networks and Related Topics

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Halbert White, 1990. "Connectionist Non-parametric Regression Multilayer Feedforward Networks Can Learn Arbitrary Mappings," University of California at San Diego, Economics Working Paper Series 90-5, Department of Economics, UC San Diego.
  2. Koenker, Roger W & Bassett, Gilbert, Jr, 1978. "Regression Quantiles," Econometrica, Econometric Society, vol. 46(1), pages 33-50, January. [Downloadable!] (restricted)
  3. Rabemananjara, R & Zakoian, J M, 1993. "Threshold Arch Models and Asymmetries in Volatility," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 8(1), pages 31-49, Jan.-Marc. [Downloadable!] (restricted)
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This page was last updated on 2009-12-9.


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