Strong Stability Of Linear Forms In Mixing Random Variables

The thesis is a research on the strong stability of linear forms in mixing random variables.In the first part, we study the sufficient condition of the strong stability of linear forms in ψ-mixing random variables ,we have the strong stability of linear forms in ψ-mixing random variables in usual situation.The results extend the corresponding theorems in i.i.d.random variables.The second part, we study the strong stability of linear forms in NA random variables and get sufficient conditions with different distributions in usual situation , Those conclusion extend sufficient conditions for strong stability of Jamison weighted sums of negatively associated random variables with identically distribution in some way.