摘要
利用由强混合序列生成的线性过程的弱收敛定理和不变原理以及矩不等式,得到了拟权函数和边界函数部分和以及部分和最大值的精确渐近性的一般形式.从而使此前关于强混合精确渐近的许多经典和最新结果都可以包括在本文所得结果范围内.
Using the weak convergence theorem of the linear process generated by strong mixing sequences and the moment inequalities of strong mixing sequences, we otained a general result on precise asymptotics for the partial sums and the maximum of the partial sums of wide range weighted functions and boundary functions. Many important results from the literatures are obtained easily as corollaries.
出处
《吉林大学学报（理学版）》
CAS
CSCD
北大核心
2008年第4期595-600,共6页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:10571073)
关键词
强混合序列
线性过程
精确渐近性
一般形式
strong mixing sequence
linear process
precise asymptotics
general result
