线性过程矩收敛精确渐近性的一个结果

A Result on Precise Asymptotics for Moment Convergence of Linear Process

利用独立同分布序列生成线性过程部分和的Berry-Esseen不等式,将独立同分布序列对数律的一阶矩完全收敛性的精确渐近性推广至线性过程,丰富了线性过程矩完全收敛性的精确渐近性的结果.

Applying the Berry-Esseen inequality of linear process generated by the independent and identically distributed random variables,the precise asymptotics is extended in the law of logarithm for the first moment convergence from the independent and identically distributed sequences to linear process,which enriched the result of the convergence asymptotics for the first moment convergence of the linear process.