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The Live Method For Generalized Additive Volatility Models

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  • Kim, Woocheol
  • Linton, Oliver

Abstract

We investigate a new separable nonparametric model for time series, which includes many autoregressive conditional heteroskedastic (ARCH) models and autoregressive (AR) models already discussed in the literature. We also propose a new estimation procedure called LIVE, or local instrumental variable estimation, that is based on a localization of the classical instrumental variable method. Our method has considerable computational advantages over the competing marginal integration or projection method. We also consider a more efficient two-step likelihood-based procedure and show that this yields both asymptotic and finite-sample performance gains.This paper is based on Chapter 2 of the first author's Ph.D. dissertation from Yale University. We thank Wolfgang Härdle, Joel Horowitz, Peter Phillips, and Dag Tjøstheim for helpful discussions. We are also grateful to Donald Andrews and two anonymous referees for valuable comments. The second author thanks the National Science Foundation and the ESRC for financial support.

Suggested Citation

  • Kim, Woocheol & Linton, Oliver, 2004. "The Live Method For Generalized Additive Volatility Models," Econometric Theory, Cambridge University Press, vol. 20(6), pages 1094-1139, December.
    • Handle: RePEc:cup:etheor:v:20:y:2004:i:06:p:1094-1139_20
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    Cited by:

    1. Ke-Li Xu & Peter C. B. Phillips, 2011. "Tilted Nonparametric Estimation of Volatility Functions With Empirical Applications," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 29(4), pages 518-528, October.
    2. Peter C.B. Phillips & Ke-Li Xu, 2007. "Tilted Nonparametric Estimation of Volatility Functions," Cowles Foundation Discussion Papers 1612, Cowles Foundation for Research in Economics, Yale University, revised Jul 2010.
    3. Douglas Gomes dos Santos & Flávio Augusto Ziegelmann, 2008. "Estimação de volatilidade em períodos de crise: Modelos aditivos semi-paramétricos versus modelos versus modelo Garch," Anais do XXXVI Encontro Nacional de Economia [Proceedings of the 36th Brazilian Economics Meeting] 200807201932370, ANPEC - Associação Nacional dos Centros de Pós-Graduação em Economia [Brazilian Association of Graduate Programs in Economics].

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    JEL classification:

    • J1 - Labor and Demographic Economics - - Demographic Economics

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