Abstract
We derive a general local limit theorem for probabilities of large deviations for a sequence of random variables by means of the saddlepoint method on Laplace-type integrals. This result is applicable to parameters in a number of combinatorial structures and the distribution of additive arithmetical functions.
Citation
Hsien-Kuei Hwang. "Large deviations of combinatorial distributions. II. Local limit theorems." Ann. Appl. Probab. 8 (1) 163 - 181, February 1998. https://doi.org/10.1214/aoap/1027961038
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