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Precise large deviations for negatively associated random variables with consistently varying tails. (English) Zbl 1111.60017

Summary: The precise large deviations for the partial sums and random sums of negatively associated random variables with consistently varying tails are derived. The results obtained are similar to those of independent and identically distributed random variables.

MSC:

60F10 Large deviations
60F05 Central limit and other weak theorems
60G50 Sums of independent random variables; random walks
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