International Conference «Mathematical and Informational Technologies, MIT-2011»
(IX Conference «Computational and Informational Technologies for Science,
Engineering and Education»)
Chebotarev V. Nagaev S.V.On the bound of proximity of the binomial distribution to the normal oneReporter: Chebotarev V.
Bounds for the error of the Gaussian approximation for the binomial distribution are stated, depending from the probability of success and the number n of observations. As a consequence, the upper bound for the absolute constant in the Berry--Esseen inequality for identically distributed random variables, taking two values, is deduced which differs from asymptotical one slightly more than 0.01.
To reports list |