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yir · 2020年07月22日

问一道题:NO.PZ2016062402000009

问题如下:

Which type of distribution produces the lowest probability for a variable to exceed a specified extreme value that is greater than the mean, assuming the distributions all have the same mean and variance?

选项:

A.

A leptokurtic distribution with a kurtosis of 4

B.

A leptokurtic distribution with a kurtosis of 8

C.

A normal distribution

D.

A platykurtic distribution

解释:

A platykurtic distribution has kurtosis less than 3, less than the normal p.d.f. Because all other answers have higher kurtosis, this produces the lowest extreme values.

想问下这道题怎么理解?


答案中A的kurtosis=4 B的kurtosis=8 C的kurtosis=3 D的kurtosis小于3,最小的不是应该选D吗?我觉得我没有读懂这道题目要问我们的是什么?这道题的题目麻烦老师讲下

1 个答案

袁园_品职助教 · 2020年07月23日

同学你好!

这道题答案是选D的吧?

一般情况下尖峰肥尾,矮峰瘦尾,所以矮峰分布出现极端值的可能性低