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水水 · 2021年05月09日

EXCESS KURTOSIS =0不是正态分布么

NO.PZ2018062016000056

问题如下:

Given the table above, which of the following statements is least accurate regarding to the skewness of Stock C?

选项:

A.

The return distribution has a few extreme gains.

B.

The return distribution has a few extreme losses.

C.

The mean return is larger than its median.

解释:

B is correct. The skewness of Stock C is positive,which shows right fat tails. A positive skewed distribution has frequent small losses and a few extreme gains.

EXCESS KURTOSIS =0不是正态分布么

3 个答案

星星_品职助教 · 2022年09月27日

@乔。

参见此前回复讲义截图,偏度>0(positive skewed)相当于右侧有一条长尾。Positive skewed=right skewed,即右偏。

星星_品职助教 · 2021年05月14日

@王水水

这道题是在考察skewness的结论。通过stock C的那一行可以看出,skewness=0.8。所以这是一个右偏的分布(positive skewed)。

对于Postive skew的分布,Mode

同时由于右侧有一条肥尾,所以是右侧有极端的正值,A选项描述正确(不能选)

B选项描述反了,如果有极端负值,分布会被拉的左偏(negative/left skewed),skewness就会小于0。所以least accurate的就选B。

可参照讲义中的结论,考试时直接选即可。

星星_品职助教 · 2021年05月09日

同学你好,

正态分布的excess kurtosis=0的这个结论不能反向成立。

即excess kurtosis=0不能得到分布就是正态分布。以本题为例,通过skewness=0.8可以看出,这是一个右偏的分布,不是正态分布。

乔。 · 2022年09月27日

为什么偏度=0.8,是右偏的?

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