NO.PZ2022123001000036
问题如下:
Compared to the normal distribution with the same variance, the distribution with more probability in the left tails is best described as :
选项:
A.Fat-tailed B.Platykurtic C.positively skewed解释:
The excess kurtosis is positive, indicating that the distribution is “fat-tailed”; therefore, there is more probability in the tails of the distribution relative to the normal distribution.
Positively skewed distribution has more probability in the right tail. Platykurtic distribution is a thin-tailed distribution.

能理解这道题是尖峰肥尾,但是想问下positive skewed为什么不对?我看一个答疑里面说positive skewed是right tail有更高的概率,但是我又翻了下讲义里面说的,positive skewed是有大量的较小的loss,一些极大的gain,既然左尾是frequent的,那说明左尾的概率比较高,右尾只是有一些outlier拉高了算术平均值,右尾的probability比较低。感觉这道题也可以选positive skewed。
因为课上老师有画图比较kurtosis和正态分布的关系的,但是skewness没讲到和正态分布的比较。所以想问下,第一是我上面这样理解有什么问题吗,另外skewness和正态分布之间关于tail的概率分布大小关系是确定的吗?