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Teoriya Veroyatnostei i ee Primeneniya, 1977, Volume 22, Issue 4, Pages 867–871
(Mi tvp3637)
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This article is cited in 36 scientific papers (total in 36 papers)
Short Communications
Approximation of a generalized binomial distribution
S. Ya. Šorgin Moscow
Abstract:
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.
Received: 14.07.1976
Citation:
S. Ya. Šorgin, “Approximation of a generalized binomial distribution”, Teor. Veroyatnost. i Primenen., 22:4 (1977), 867–871; Theory Probab. Appl., 22:4 (1978), 846–850
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https://www.mathnet.ru/eng/tvp3637 https://www.mathnet.ru/eng/tvp/v22/i4/p867
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