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Kathy苏苏 · 2023年03月15日

skew and kurtosis of X

NO.PZ2020010302000009

问题如下:

Consider the following data on a discrete random variable X:

a. Calculate the mean and variance of X.

b. Standardize X and check that the mean and variance of X are 0 and 1 respectively.

c. Calculate the skew and kurtosis of X.

选项:

解释:

a. The mean is -0.803 and the variance is 6.762.

b.



c.



Hence, the skew of X is -0.581 and the kurtosis of X is 2.773.








skew and kurtosis of X,不是标准化后的15个数的三次方(或四次方)的和吗?为什么还要再除以15?谢谢

1 个答案

pzqa27 · 2023年03月15日

嗨,爱思考的PZer你好:


根据公式,那标准化完事后是需要求期望的,根据期望的算法,这一共15个数,自然是加总起来除15了

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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