Consider the generalised linear regression model: y = Xẞ + e, with E[e] = 0 and E[ee] = 022. Let the model be estimated using both OLS and GLS, and let the OLS estimator of ẞ be denoted as BOLS and its GLS estimator as BGLS. Which of the following statements are incorrect about the OLS and GLS estimators? (a) BOLS is BLUE (b) BGLS is BLUE (c) The variance of BOLS cannot be less than that of BGLS (d) BGLS is more efficient that BOLS

Essentials of Business Analytics (MindTap Course List)
2nd Edition
ISBN:9781305627734
Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Chapter8: Time Series Analysis And_forecasting
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Problem 17P: Consider the following time series: a. Construct a time series plot. What type of pattern exists in...
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Consider the generalised linear regression model: y = Xẞ + e, with E[e] = 0 and E[ee] = 022. Let the
model be estimated using both OLS and GLS, and let the OLS estimator of ẞ be denoted as BOLS and its
GLS estimator as BGLS.
Which of the following statements are incorrect about the OLS and GLS estimators?
(a) BOLS is BLUE
(b) BGLS is BLUE
(c) The variance of BOLS cannot be less than that of BGLS
(d) BGLS is more efficient that BOLS
Transcribed Image Text:Consider the generalised linear regression model: y = Xẞ + e, with E[e] = 0 and E[ee] = 022. Let the model be estimated using both OLS and GLS, and let the OLS estimator of ẞ be denoted as BOLS and its GLS estimator as BGLS. Which of the following statements are incorrect about the OLS and GLS estimators? (a) BOLS is BLUE (b) BGLS is BLUE (c) The variance of BOLS cannot be less than that of BGLS (d) BGLS is more efficient that BOLS
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