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Limit theorems for sums and maxima of pairwise negative quadrant dependent random variables. (English) Zbl 0841.60020
Let $$X_n$$ be a sequence of pairwise negative quadrant dependent random variables with the same distribution. Set $$S_n = \sum^n_1 X_i$$. Then for $$p > 1$$ there exists a sequence $$b_n$$ such that $$(S_n - b_n)/n^p \to 0$$ a.s. if and only if $$E|X_i|^p < \infty$$.

##### MSC:
 60F15 Strong limit theorems 60G70 Extreme value theory; extremal stochastic processes