On Approximation of the Tails of the Binomial Distribution with These of the Poisson Law

• Published in: Mathematics (Basel) Vol. 9; no. 8; p. 845
• Main Authors: Nagaev, Sergei, Chebotarev, Vladimir
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01.04.2021
• Subjects: Approximation; Binomial distribution; esscher transformation; Estimates; Food science; Inequality; Mathematical analysis; Parameters; poisson approximation; Poisson distribution; Random variables

A subject of this study is the behavior of the tail of the binomial distribution in the case of the Poisson approximation. The deviation from unit of the ratio of the tail of the binomial distribution and that of the Poisson distribution, multiplied by the correction factor, is estimated. A new type...