Efficient Estimation of Regressions with Nonstationary Heteroskedasticity
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In this paper, we develop an efficient estimation method and an asymptotic chi-square testing procedure in regression models with errors having conditional heteroskedasticity generated by an integrated covariate in both stationary regression and cointegrating regression. In the presence of nonstationary volatility in the regression errors, it is known that the least squares estimator suffers from the second order biases generated by heteroskedasticity and endogeneity,and the standard chi-square test becomes invalid. It is shown that the efficient estimator proposed in the paper is asymptotically unbiased and follows a mixed normal distribution, and the test based on the estimator has chi-square limit distribution. Finite sample performances also confirm our theoretical findings.
Abstract
In this paper, we develop an efficient estimation method and an asymptotic chi-square testing procedure in regression models with errors having conditional heteroskedasticity generated by an integrated covariate in both stationary regression and cointegrating regression. In the presence of nonstationary volatility in the regression errors, it is known that the least squares estimator suffers from the second order biases generated by heteroskedasticity and endogeneity,and the standard chi-square test becomes invalid. It is shown that the efficient estimator proposed in the paper is asymptotically unbiased and follows a mixed normal distribution, and the test based on the estimator has chi-square limit distribution. Finite sample performances also confirm our theoretical findings.
참고문헌 (21)
- Adaptive testing for a unit root with nonstationary volatility, "Boswijk, H. P.", Amsterdam School of Economics, ~ (2005)
- Cavaliere, G., "Unit root tests under time-varying variance shifts", Econometric Reviews, 23, pp.259~292 (2004)
- Cavaliere, G., "Testing for unit roots in time series models with nonstationary volatility", Journal of Econometrics, 140, pp.919~947 (2007)
- Cavaliere, G., "Testing for co-integration in vector autoregressions with non-stationary volatility", Journal of Econometrics, 158, pp.7~24 (2010)
- Lag length selection for unit root tests in the presence of nonstationary volatility, "Cavaliere, G.", Cowles Foundation Discussion, ~, pp.Cowles Foundation Discussion Paper No. 1844 (2012)
- Chang, Y., "Index models with integrated time series", Journal of Econometrics, 114, pp.73~106 (2003)
- Chang, Y., "Nonlinear econometric models with cointegrated and deterministically trending regressors", Econometrics Journal, 4, pp.1~36 (2001)
- Chung, H., "Nonstationary nonlinear heteroskedasticity in regression", Journal of Econometrics, 137, pp.230~259 (2007)
- de Jong, R. M., "Appendum to Asymptotics for nonlinear transformations of integrated time series" (2002), Mimeograph, Department of Economics, Michigan State University
- Granger, C. W. J., "Spurious regressions in econometrics", Journal of Econometrics, 2, pp.111~120 (1974)
- Hansen, B. E., "Regression with nonstationary volatility", Econometrica, 63, pp.1113~1132 (1995)
- Kim, C. S., "Cointegrating Regressions with Time Heterogeneity", Econometric Reviews, 29, pp.397~438 (2010)
- Kim, J., "Local Linear Estimation of Nonparametric Cointegrating Regression", Journal of Economic Theory and Econometrics, 21, pp.23~42 (2010)
- Park, J. Y., "Canonical cointegrating regressions", Econometrica, 60, pp.119~143 (1992)
- Park, J. Y., "Nonlinear nonstationary heteroskedasticity", Journal of Econometrics, 110, pp.383~415 (2002)
- Park, J. Y., "Asymptotics for nonlinear transformations of integrated time series", Econometric Theory, 15, pp.269~298 (1999)
- Park, J. Y., "Nonlinear regressions with integrated time series", Econometrica, 69, pp.117~161 (2001)
- Phillips, P. C. B., "Understanding spurious regression in econometrics", Journal of Econometrics, 33, pp.311~340 (1986)
- Phillips, P. C. B., "Optimal Inference in Cointegrating System", Econometrica, 59, pp.283~306 (1991)
- Phillips, P. C. B., "Statistical inference in instrumental variables regressions with I(1) processes", Review of Economic Studies, 57, pp.99~125 (1990)
- Phillips, P. C. B., "Inference in autoregression under heteroskedasticity", Journal of Time Series Analysis, 27, pp.289~308 (2006)