人的身高分布服从近似正态分布是从很多统计数据看出来的.所以就要问,为什么会这样呢?
引用:
Central Limit Theorem explains why many human characteristics follow the normal curve, as attributes such as height or weight can be thought of as a sort of “average”. If we think of human weight or height as being a “sort of mean” of many factors (such as heredity, diet, race, sex, many others) then the Central Limit Theorem would lead us to expect that such human characteristics will follow the normal distribution.
这就是说正态分布显示影响身高的独立而差不多重要的因素很多。
如果随机变量们不是相加而是相乘,且相乘的随机变量个数也是随机的并服从几何分布,则乘积服从幂律。对沙堆来说,一粒沙的随机滑动引起随机个沙粒的滑动,并继续如此,历一个几何分布的次数后停止,所以沙堆的坍塌服从幂律。