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Automatic Frequency Domain Inference on Semiparametric and Nonparametric Models

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Author Info
Robinson, P M

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Abstract

The author considers frequency domain time series analysis, where smoothing in nonparametric spectrum estimation is data-dependent. Uniform convergence of spectrum estimates is established and applied to a semiparametric model, parameterized over possibly only a subset of the frequencies, in which disturbances have nonparametric autocorrelation. Optimal instruments depend on the disturbance spectrum and frequency response function, which is nonparametric in incomplete systems. The author justifies feasible, optimal parameter estimates. The degree of smoothing is allowed to depend on the data in a general way. The author proves consistency of a cross-validation method of automatic smoothing and applies it to a semiparametric model. Copyright 1991 by The Econometric Society.

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Publisher Info
Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 59 (1991)
Issue (Month): 5 (September)
Pages: 1329-63
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Handle: RePEc:ecm:emetrp:v:59:y:1991:i:5:p:1329-63

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  1. Bunzel, Helle, 2003. "Fixed-b Asymptotics in Single Equation Cointegration Models with Endogenous Regressors," Staff General Research Papers 10685, Iowa State University, Department of Economics.
  2. Peter C.B. Phillips & Binbin Guo & Zhijie Xiao, 2002. "Efficient Regression in Time Series Partial Linear Models," Cowles Foundation Discussion Papers 1363, Cowles Foundation, Yale University. [Downloadable!]
  3. Ionel Birgean & Lutz Kilian, 2002. "Data-Driven Nonparametric Spectral Density Estimators For Economic Time Series: A Monte Carlo Study," Econometric Reviews, Taylor and Francis Journals, vol. 21(4), pages 449-476. [Downloadable!] (restricted)
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  4. Dimitris Politis, 2005. "Higher-order accurate, positive semi-definite estimation of large-sample covariance and spectral density matrices," University of California at San Diego, Economics Working Paper Series 2005-03, Department of Economics, UC San Diego. [Downloadable!]
  5. Peter C.B. Phillips, 2003. "Vision and Influence in Econometrics: John Denis Sargan," Cowles Foundation Discussion Papers 1393, Cowles Foundation, Yale University. [Downloadable!]
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  6. Javier Hualde & Peter M Robinson, 2003. "Cointegration in Fractional Systems with Unkown Integration Orders," STICERD - Econometrics Paper Series /2003/449, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE. [Downloadable!]
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  7. Oliver Linton, 1993. "Second Order Approximation in the Partially Linear Regression Model," Cowles Foundation Discussion Papers 1065, Cowles Foundation, Yale University. [Downloadable!]
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  8. Zhijie Xiao & Peter C.B. Phillips, 1998. "Higher Order Approximations for Wald Statistics in Cointegrating Regressions," Cowles Foundation Discussion Papers 1192, Cowles Foundation, Yale University. [Downloadable!]
  9. Oliver Linton, 1997. "Second-Order Approximation for Semiparametric Instrumental Variable Estimators and Test Statistics," Cowles Foundation Discussion Papers 1151, Cowles Foundation, Yale University. [Downloadable!]
  10. Javier Hidalgo, 2003. "An Alternative Bootstrap to Moving Blocks for Time Series Regression Models," STICERD - Econometrics Paper Series /2003/452, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE. [Downloadable!]
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  11. Javier Hidalgo & Peter M Robinson, 2001. "Adapting to Unknown Disturbance Autocorrelation in Regression with Long Memory," STICERD - Econometrics Paper Series /2001/427, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE. [Downloadable!]
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  12. Javier Hidalgo, 2003. "A Bootstrap Causality Test for Covariance Stationary Processes," STICERD - Econometrics Paper Series /2003/462, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE. [Downloadable!]
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  13. Javier Hidalgo, 2000. "Nonparametric Test for Causality with Long-Range Dependence - (Now published in Econometrica, 68, (2000) pp.1465-1490," STICERD - Econometrics Paper Series /2000/387, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE. [Downloadable!]
  14. Zhijie Xiao, 2009. "Quantile Cointegrating Regression," Boston College Working Papers in Economics 708, Boston College Department of Economics. [Downloadable!]
  15. Ekaterini Panopoulou & Nikitas Pittis & Sarantis Kalyvitis, 2006. "Looking far in the past: Revisiting the growth-returns nexus with non-parametric tests," The Institute for International Integration Studies Discussion Paper Series iiisdp134, IIIS. [Downloadable!]
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  16. Peter M Robinson & Carlos Velasco, 2000. "Edgeworth Expansions for Spectral Density Estimates and Studentized Sample Mean - (Now published in Economic Theory, 17 (2001), pp.497-539," STICERD - Econometrics Paper Series /2000/390, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE. [Downloadable!]
  17. Helle Bunzel, 2004. "Fixed Bandwidth Asymptotics in Single Equation Models of Cointegration with an Application to Money Demand," Econometric Society 2004 North American Summer Meetings 219, Econometric Society. [Downloadable!]
  18. Wouter J. den Haan & Andrew Levin, 1996. "A Practitioner's Guide to Robust Covariance Matrix Estimation," University of California at San Diego, Economics Working Paper Series 96-17, Department of Economics, UC San Diego. [Downloadable!]
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  19. Lacroix, R., 2008. "Analyse conjoncturelle de données brutes et estimation de cycles Partie 1 : estimation et tests," Documents de Travail 209, Banque de France. [Downloadable!]
  20. Wouter J. Den Haan & Andrew Levin, 1996. "Inferences from Parametric and Non-Parametric Covariance Matrix Estimation Procedures," NBER Technical Working Papers 0195, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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