Geodesic
Limits of admissibility of normal approximations for the Poisson distribution
Teoriâ veroâtnostej i ee primeneniâ, Tome 14 (1969) no. 1, pp. 175-178

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Various normal approximations of a Poisson distribution function $$ \mathbf P\{\mu\le m\mid a\}=\sum_{k=0}^m\frac{a^k}{k!}e^{-a}=\frac1{\Gamma(m+1)}\int_a^\infty x^me^{-x}\,dx $$ are considered in case of large values of the parameter $a$. The least values $A(\varepsilon)$ of a for which the corresponding approximation errors do not exceed given $\varepsilon>0$ are also calculated, the results being compared with the exact values obtained with an electronic computer. 
@article{TVP_1969_14_1_a22,
     author = {B. I. Devyatov},
     title = {Limits of admissibility of normal approximations for the {Poisson} distribution},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {175--178},
     publisher = {mathdoc},
     volume = {14},
     number = {1},
     year = {1969},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1969_14_1_a22/}
}
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B. I. Devyatov. Limits of admissibility of normal approximations for the Poisson distribution. Teoriâ veroâtnostej i ee primeneniâ, Tome 14 (1969) no. 1, pp. 175-178. http://geodesic.mathdoc.fr/item/TVP_1969_14_1_a22/