关于Von Mises条件的注记

NOTES ON VON MISES CONDITIONS

ＶｏｎＭｉｓｅｓ（１９３６）在一定条件下给出了独立同分布随机变量序列｛Ｘ＿ｎ｝之分布函数Ｆ（ｘ）属于三大吸引场的充分条件。受Ｇａｌａｍｂｏｓ（１９８７）文章的启发，在一定限制下，使ＶｏｎＭｉｓｅｓ条件也成为Ｆ∈Ｄ（Φ＿ａ）及Ｅ∈Ｄ（Φ＿ａ）的充要条件。

Under some restricted conditions,Von Mises (1936 ) gave the sufficient conditions on distributionfunction F (x) of an i. i. d random sequence which then belongs to the three domains of attraction. En-lightened by the paper of Galambos (1987) , under some restricted conditions , we obtained the suffi-cient and necessary conditions on F∈D(Φ_a) and F∈D(ψ_a ).