In every finite mixture of different normal distributions, there will always be exactly one of those distributions that not only is over-represented in the right tail of the mixture, but even completely overwhelms all other subpopulations in the rightmost tails. This property, although not unique to normal distributions, is not shared by other common continuous centrally-symmetric unimodal distributions such as Laplace, nor even by other bell-shaped distributions such as Cauchy (Lorentz) distributions.
翻译:在每种不同正常分布的有限混合物中,总是有一类分配不仅在混合物的右尾部中代表过多,而且甚至完全超载了右尾尾部所有其他亚群。 这一属性虽然不是正常分布所独有的,但并非由Laplace等其他常见的连续中央对称单式分布,甚至由Cauchy(Lorentz)分布等其他钟形分布所共有。