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.
Publié le : 1998-02-14
Classification:
Large deviations,
local limit
theorems,
asymptotic expansion,
saddle-point
method,
combinatorial schemes,
singularity
analysis,
additive arithmetical
functions,
60F10,
05A16,
11K65
@article{1027961038,
author = {Hwang, Hsien-Kuei},
title = {Large deviations of combinatorial distributions. II. Local limit
theorems},
journal = {Ann. Appl. Probab.},
volume = {8},
number = {1},
year = {1998},
pages = { 163-181},
language = {en},
url = {http://dml.mathdoc.fr/item/1027961038}
}
Hwang, Hsien-Kuei. Large deviations of combinatorial distributions. II. Local limit
theorems. Ann. Appl. Probab., Tome 8 (1998) no. 1, pp. 163-181. http://gdmltest.u-ga.fr/item/1027961038/