题目
Which type of distribution produces the lowest probability for a variable that have a specified extreme value assuming the distributions 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
答案
D
解析
The kurtosis indicates the level of fatness in the tails, the higher the kurtosis, the fatter the tails. A leptokurtic distribution has fatter tails than the normal distribution. A platykurtic distribution has thinner tails than both the normal distribution and any leptokurtic distribution. 峰度表示尾巴上的肥瘦程度，峰度越高，尾巴越胖。尖峰型分布的尾部比正常分布更肥。矮峰型分布比正态分布和任何尖峰型分布尾部都瘦。