最大值的几乎处处局部中心极限定理(英文)

Almost sure local central limit theorem for the maximum

X 1,X 2,L为独立同分布随机变量序列,Csáki,E在1993年给出了部分和的几乎处处局部中心极限定理.我们在较弱的条件下首次证明了最大值的几乎处处局部中心极限定理.

For an independent identity distribution random variable sequence X1, X2,…, an almost sure local limit theorem for the sums is given by Cs á ki, E. et al.（1993） .We focus our attention on its maximum M, the almost sure local limit theorem for the maximum of random variables is proved firsdy under some weak conditions.