Na Sequence Part Of The Sum Of The Limit Theorem

This paper investigates limit theorem for the sum of partial sum of NA sequences.Since NA random variables are introduced in 1980's, the investiga-tion on its limit theorg,statistic properties and application hasbeen paid consierabceg attention because of it extensive appliaation .Ann some importane theories are ertabibled for example, some results similart i.i.d case are obtained for the partial sum su of NA sequences.This paper investigates limit properties for the sum of partial sum of NA sequences , but not studies limit properties for the partial sum of NA sequences. In Chapter 1, the strong law of large number is establisbes by giving some eguvialent conditions. In Chapter 2, the weak law of large numbers for the sum of the partial sum is establisbes under some mild conaitions. In Chapter 3, central limit theorems for nstationary...