Estimating Semiparametric ARCH(∞) Models by Kernel Smoothing Methods
Abstract
We investigate a class of semiparametric ARCH(∞) models that includes as a special case the partially nonparametric (PNP) model introduced by Engle and Ng (1993) and which allows for both flexible dynamics and flexible function form with regard to the "news impact" function. We show that the functional part of the model satisfies a type II linear integral equation and give simple conditions under which there is a unique solution. We propose an estimation method that is based on kernel smoothing and profiled likelihood. We establish the distribution theory of the parametric components and the pointwise distribution of the nonparametric component of the model. We also discuss efficiency of both the parametric part and the nonparametric part. We investigate the performance of our procedures on simulated data and on a sample of S&P500 index returns. We find evidence of asymmetric news impact functions, consistent with the parametric analysis. Copyright The Econometric Society 2005.Download Info
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Bibliographic Info
Article provided by Econometric Society in its journal Econometrica.
Volume (Year): 73 (2005)
Issue (Month): 3 (05)
Pages: 771-836
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Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.Cited by:
- Stanislav Anatolyev, 2007.
"Optimal Instruments In Time Series: A Survey,"
Journal of Economic Surveys,
Wiley Blackwell, vol. 21(1), pages 143-173, 02.
- Stanislav Anatolyev, 2005. "Optimal Instruments in Time Series: A Survey," Working Papers w0069, Center for Economic and Financial Research (CEFIR).
- Qi Li & Jeffrey Scott Racine, 2006. "Nonparametric Econometrics: Theory and Practice," Economics Books, Princeton University Press, edition 1, volume 1, number 8355, March.
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