关于概率分布列的极限分布

Limit Distributions for Several Random Sequences

如果把退化分布（即一点分布）也看作正态分布律，则正态律的极限律也是正态的，本文证明了常见的分布律都有类似的性质。

it is known that the limit distribution of a sequence of normally distributed random variables is either a normal distribution or a degenerate one .In this note similar propositions are proved for other distributions.