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sophialinlinlin · 2025年01月17日

LAD是在哪里讲的呢?

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?

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