Geodesic
Approximation of a~generalized binomial distribution
Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 4, pp. 867-871

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The distribution of \begin{gather*} S_n=X_1+\dots+X_n \\ (\mathbf P\{X_j=1\}=p_j,\quad\mathbf P\{X_j=0\}=1-p_j) \end{gather*} is investigated. Some results are obtained concerning the rate of its convergence to a Poisson law and to some modifications of the Poisson law. 
@article{TVP_1977_22_4_a19,
     author = {S. Ya. \v{S}orgin},
     title = {Approximation of a~generalized binomial distribution},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {867--871},
     publisher = {mathdoc},
     volume = {22},
     number = {4},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1977_22_4_a19/}
}
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S. Ya. Šorgin. Approximation of a~generalized binomial distribution. Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 4, pp. 867-871. http://geodesic.mathdoc.fr/item/TVP_1977_22_4_a19/