Some Limit Properties For Pairwise Nqd Sequence

Probability limit theory is a major branch of probability and statistics disciplines, and also the important foundation for other branches of probability theory and mathematical statistics. People recognize that the frequency of occurrence in practice with asymptotic stability, that is the frequency of events gradually stabilized a constant with the increase in the number of test. Thus foresee the existence of the probability, and to estimate the probability of commonly used frequency in practical application, this is the source of the probability limit theory.In this paper, we mainly discuss the strong stability for Jamison type weighted partial sums of different distributions of pairwise NQD random variable sequences and some limit properties of pairwise NQD random fields. The main contents are as followsOn the basis of the Jamison type weighted sums of the independent and identically distribution random sequences and NA random variable sequences, we studied the strong stability for Jamison type weighted partial sums and sums of partial sums of different distributions of pairwise NQD random variable sequences on condition that tailed probability uniformly bounded with truncation method, and get the strong stability of partial sums apply the results.Explore and get the strong stability and complete convergence for pairwise NQD random variable sequence under the similar condition on the base that φ(x) is a positive function, further φ(x)/|x|and φ(x)/x2are diminished function with respect to|x|.On the basis of pairwise NQD sequences and negatively associated random field, raising the definition of pairwise NQD random field and proving Kolmogorov type inequality.according to Baum-Katz complete convergence of pairwise NQD random variable sequences with the same distribution, we discuss mainly the law of complete convergence of Pairwise NQD random fields come up with deductions,namely the law of complete convergence of Pairwise NQD random variables for multiindexed summands Z+d,the positive integer d-dimensional lattice points with partial ordering≤.