Na Sequence Weighting, And The Convergence Rate And Its Application

In this thesis we discuss the limit theory of negatively associated sequences of non-identically distributed random variables. A kind of complete convergence of sums for negatively associated sequences of non-identically distributed random variables , in the second chapter, is obtained and the requirement of known results are weakened to the condition that absoluted moment- larger than zero-is finite . The strong convergence of negatively associated sequences of non-identically distributed random variables is discussed in the third chapter. In the fourth chapter , after extend the laws of the iterated logarithm of strong stationary case to weak stationary case , we obtain the strong convergence rate for negatively associated sequences of non-identically distributed random variables in linear models.