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Cross-Section Regression with Common Shocks

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Author Info
Donald W. K. Andrews

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Abstract

This paper considers regression models for cross-section data that exhibit cross-section dependence due to common shocks, such as macroeconomic shocks. The paper analyzes the properties of least squares (LS) estimators in this context. The results of the paper allow for any form of cross-section dependence and heterogeneity across population units. The probability limits of the LS estimators are determined, and necessary and sufficient conditions are given for consistency. The asymptotic distributions of the estimators are found to be mixed normal after recentering and scaling. The t, Wald, and F statistics are found to have asymptotic standard normal, χ-super-2, and scaled χ-super-2 distributions, respectively, under the null hypothesis when the conditions required for consistency of the parameter under test hold. However, the absolute values of t, Wald, and F statistics are found to diverge to infinity under the null hypothesis when these conditions fail. Confidence intervals exhibit similarly dichotomous behavior. Hence, common shocks are found to be innocuous in some circumstances, but quite problematic in others. Copyright The Econometric Society 2005.

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File URL: http://hdl.handle.net/10.1111/j.1468-0262.2005.00629.x
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Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 73 (2005)
Issue (Month): 5 (09)
Pages: 1551-1585
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Handle: RePEc:ecm:emetrp:v:73:y:2005:i:5:p:1551-1585

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References listed on IDEAS
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  1. Pepper, John V., 2002. "Robust inferences from random clustered samples: an application using data from the panel study of income dynamics," Economics Letters, Elsevier, vol. 75(3), pages 341-345, May. [Downloadable!] (restricted)
  2. Case, Anne C, 1991. "Spatial Patterns in Household Demand," Econometrica, Econometric Society, vol. 59(4), pages 953-65, July. [Downloadable!] (restricted)
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Cited by:
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  1. Yixiao Sun, 2005. "Estimation and Inference in Panel Structure Models," University of California at San Diego, Economics Working Paper Series 2005-11, Department of Economics, UC San Diego. [Downloadable!]
  2. Elisa Tosetti & Francesco Moscone, 2007. "Health Expenditure and Income in the United States," Discussion Papers in Economics 07/14, Department of Economics, University of Leicester. [Downloadable!]
  3. Seung C. Ahn & Young H. Lee & Peter Schmidt, 2006. "Panel Data Models with Multiple Time-Varying Individual Effects," Working Papers 0702, University of Crete, Department of Economics. [Downloadable!]
  4. Erik Hjalmarsson, 2006. "Predictive regressions with panel data," International Finance Discussion Papers 869, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
  5. Christian Hawkesby & Ian W Marsh & Ibrahim Stevens, . "Comovements in the prices of securities issued by large complex financial institutions," Bank of England working papers 256, Bank of England. [Downloadable!]
  6. Jushan Bai & Chihwa Kao, 2005. "On the Estimation and Inference of a Panel Cointegration Model with Cross-Sectional Dependence," Center for Policy Research Working Papers 75, Center for Policy Research, Maxwell School, Syracuse University. [Downloadable!]
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