著者

Akahira Masafumi Takahashi Kunihiko

出版者

日本統計学会

雑誌

Journal of the Japan Statistical Society (ISSN:03895602)

巻号頁・発行日

vol.31, no.2, pp.257-267, 2001-12

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For a sum of independent discrete random variables, its higher order large-deviation approximation is discussed. An approximation to the tail probability of the distribution of the sum is provided, and its numerical comparison with other approximations is done in the binomial case. Consequently, the approximation formula is seen to be more accurate.