NO.PZ2024120401000072
问题如下:
You presented a regression model to your boss, the Chief Risk Officer (CRO). She is a certified FRM so you know that she knows statistics. She queries you on the dataset and your regression, and you admit to two realities: First, the error term is heteroskedastic. Second, there are many extreme outliers in the dataset. Your boss makes the following assertions:
I. "It is okay, for our purposes, that the error term is heteroskedastic: the slope (B1) estimator remains efficient and BLUE."
II. "Since we have many extreme outliers, the least absolute deviations (LAD) is a viable alternative to OLS, because its estimators may be more efficient (i.e., have smaller variances)"
Which of your boss' statements is (are) true?
选项:
A.Neither
B.I only
C.II only
D.Both are true
解释:
In regard to (I), the "B" in BLUE refers to "best" which means most EFFICIENT (smallest variance among unbiased estimators); heteroskedasticity threatens the efficiency of the estimator.
我看墨迹讲义306页主要说的是用visually examine来甄别。我自己去查了LAD(https://real-statistics.com/multiple-regression/lad-regression/),但是感觉讲课的时候没说呀,还是我遗漏了?