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A comparison theorem on moment inequalities between negatively associated and independent random variables. (English) Zbl 0971.60015
Two sequences of random variables, negatively associated (NA) and independent, are considered. It is shown that the expectation of any convex function of the partial sum (or the maximum partial sum) of NA random variables can be bounded by those of independent random variables. Such a comparison result is useful to obtain limit theorems, especially strong laws of large numbers, functional central limit theorems, Berry-Esseen bounds and laws of the iterated logarithm for NA sequences of random variables.

MSC:
60E15Inequalities in probability theory; stochastic orderings
60F15Strong limit theorems
62N05Reliability and life testing (survival analysis)
60F17Functional limit theorems; invariance principles