Negatively Correlated Sequence Of Random Variables Convergence

In this thesis,We discuss the limit theory of negatively associated sequences of random variables and that of negatively quadrant dependent sequences of random variables.The Stout's sums for negatively associated sequences of non-identically random variables was studied in the second chapter,then the requirement on the coefficients of known results are weakened to the condition that the requirement is necessary when the parameter is in some interval.The necessity of Baum-Katz's theory on complete convergence for negatively quadrant dependent sequences of identically random variables was established completely in the third chapter,then with the known theory,we get the Baum-Katz's theory on complete convergence.we also extend the sufficiency of the theory to the negatively quadrant dependent sequences of non-identically random variables.In the forth chapter,we establish the strong law of large numbers for the Ryszard's summation of negatively associated sequences of the identically random variables.