PRECISE LARGE DEVIATIONS FOR RANDOM SUMS OF EXTENDED NEGATIVELY DEPENDENT RANDOM VARIABLES WITH CONSISTENTLY VARYING TAILS
Let be a sequence of real-valued random variables with common distribution F. This paper investigates the precise large deviations for the random sum in which is a sequence of extended negatively dependent random variables with common distribution Fof consistent variation and is a nonnegative integer-valued process independent of The obtained results extend and improve some corresponding results.
precise large deviations, random sums, consistently varying tails.