Sankhyā: The Indian Journal of Statistics, Series A (1961-2002), Vol. 34, No. 1 (Mar., 1972), pp. 9-16 (8 pages) An exponential bound is obtained for probabilities of large deviations in a strictly ...
Let $W_{n}\coloneq \sum_{j=1}^{n}Z_{j}$ be a sum of independent integer-valued random variables. In this paper, we derive an asymptotic expansion for the probability ...