The higher order large-deviation approximation for the distribution of the sum of independent discreterandom variables
Masaiumi Akahira, Kunihiko Takahashi, Kei Takeuchi · Communication in Statistics- Theory and Methods · 1999
For a sum of not identic ally but independently distributed discrete random variables, its higher order large-deviation approximation in given. They are compared with the normal and Edge-worth type approximations in various cases. Consequently, the large-deviation approximations give sufficiently accurate results.