A note on variable selection in nonparametric regression with dependent data
We develop a nonparametric test, based on kernel smoothers, in order to decide whether some covariates could be suppressed in a multidimensional nonparametric regression study. We give the asymptotic distribution of the statistic involved in our test, under a general dependence assumption on the sample that allows for application to time series prediction.
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Volume (Year): 57 (2002)
Issue (Month): 3 (April)
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References listed on IDEAS
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- Lavergne, Pascal & Vuong, Quang H, 1996.
"Nonparametric Selection of Regressors: The Nonnested Case,"
Econometric Society, vol. 64(1), pages 207-219, January.
- Lavergne, P. & Vuong, Q., 1992. "Nonparametric Selection of Regressors : the Nonnested Case," Papers 9204, Southern California - Department of Economics.
- Fan, Yanqin & Li, Qi, 1996. "Consistent Model Specification Tests: Omitted Variables and Semiparametric Functional Forms," Econometrica, Econometric Society, vol. 64(4), pages 865-890, July.
- Bierens, Herman J, 1990. "A Consistent Conditional Moment Test of Functional Form," Econometrica, Econometric Society, vol. 58(6), pages 1443-1458, November.
- Bierens, H.J., 1989. "A consistent conditional moment test of functional form," Serie Research Memoranda 0064, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
- Hong, Yongmiao & White, Halbert, 1995. "Consistent Specification Testing via Nonparametric Series Regression," Econometrica, Econometric Society, vol. 63(5), pages 1133-1159, September.
- Horowitz, Joel L. & Härdle, Wolfgang, 1994. "Testing a Parametric Model Against a Semiparametric Alternative," Econometric Theory, Cambridge University Press, vol. 10(05), pages 821-848, December.
- Horowitz, J.L. & Hardle, W., 1992. "Testing a Parametric Model Against a Semiparametric Alternative," Working Papers 92-06, University of Iowa, Department of Economics.
- Horowitz, J. & Härdle, W.K., 1992. "Testing a Parametric Model Against a Semiparametric Alternative," Discussion Paper 1992-19, Tilburg University, Center for Economic Research.
- Hall, Peter, 1984. "Central limit theorem for integrated square error of multivariate nonparametric density estimators," Journal of Multivariate Analysis, Elsevier, vol. 14(1), pages 1-16, February.
- Bierens, Herman J., 1982. "Consistent model specification tests," Journal of Econometrics, Elsevier, vol. 20(1), pages 105-134, October.
- Kozek, Andrzej S., 1991. "A nonparametric test of fit of a parametric model," Journal of Multivariate Analysis, Elsevier, vol. 37(1), pages 66-75, April. Full references (including those not matched with items on IDEAS)
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