Giuliano, Rita; Macci, Claudio Large deviations for some normalized sums of exponentially distributed random variables. (English) Zbl 1265.60025 Ann. Math. Inform. 39, 109-123 (2012). Summary: We prove large deviation results for sequences of normalized sums which are defined in terms of triangular arrays of exponentially distributed random variables. We also present some examples: one of them might have applications in reliability theory because it concerns the spacings of i.i.d. exponentially distributed random variables; in another one, we consider a sequence of logarithmically weighted means. Cited in 1 Document MSC: 60F05 Central limit and other weak theorems 60F10 Large deviations 60F15 Strong limit theorems 62G30 Order statistics; empirical distribution functions 11M06 \(\zeta (s)\) and \(L(s, \chi)\) Keywords:large deviations; exponential distribution; Riemann-\(\zeta\) function; triangular array; spacings; logarithmically weighted mean PDFBibTeX XMLCite \textit{R. Giuliano} and \textit{C. Macci}, Ann. Math. Inform. 39, 109--123 (2012; Zbl 1265.60025) Full Text: Link