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
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 Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F247ac049-f1cc-46b3-85cf-a1421fcb870b%2Ffb2e9196-4dbf-40c2-9e67-ea41d1c8dbb7%2Fktvpzcc_processed.jpeg&w=3840&q=75)
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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