Among several subpopulations of a given species with a normally-distributed trait, such as height, blood pressure, or various test scores in humans, one and only one of the subpopulations will always strongly dominate all the others in the right tail, that is, in the high-end values of that trait. Examples are given to show that this is not true in general for other common classes of continuous centrally-symmetric unimodal distributions such as Laplace, nor even for other bell-shaped distributions such as Cauchy.
翻译:在一个具有通常分布特性的物种的若干亚群中,如身高、血压或人类的各种测试分数,一个和只有一个亚群将始终在右尾部,即该特性的高端值中,主宰所有其他物种,举例表明,对于Laplace等其他常见的连续中央对称单体分布的普通类别,甚至对于其他钟形分布,如Cauchy,一般不是这样。