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Activity Number: 474
Type: Contributed
Date/Time: Wednesday, August 1, 2007 : 2:00 PM to 3:50 PM
Sponsor: Business and Economics Statistics Section
Abstract - #308310
Title: Inferences in Regression with Correlated Residuals
Author(s): Yue Fang*+
Companies: University of Oregon
Address: CEIBS, College of Business, Eugene, OR, 97403,
Keywords: Autocorrelation ; Hypothesis test ; Generalized least squares ; Regression
Abstract:

In this article we show that autoregressive corrections based on generalized least squares (GLS) estimation yields estimates for serially correlated regression parameters that are asymptotically efficient, and that have the same limiting distribution as those of Aitken estimators (GLS). Based on exhaustive Monte Carlo studies we also demonstrate that for finite samples the relative efficiency this estimator is comparable to that of estimated GLS when the autoregressive order is appropriately chosen. Moreover, this type of correction can yield as good, and more often, better forecasts than those generated from ordinary least squares (OLS) or from GLS using the correct form of the residual autocorrelation structure. This suggests that there is not much to be gained in trying to identify the correct form and order of the serial correlation.


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Revised September, 2007