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Teor. Veroyatnost. i Primenen., 1964, Volume 9, Issue 4, Pages 718–724 (Mi tvp423)  

Short Communications

On Calculation of the Power of the Test of Empty Boxes

V. P. Čistyakov

Moscow

Abstract: Let us suppose that $n$ balls are distributed among $N$ boxes, so that each ball may fall into the i-th box with probability $a_i$, $a_i\geqq 0$, $\sum\limits_{i=1}^N a_i=1$, independently of what happens to the other balls. Let $\mu_0$ denote the number of boxes which remain empty. In [5] the proof of the theorem on asymptotic normality of $\mu_0$ under the assumption (1) is not correct. In the present paper a more general theorem on asymptotic normality of $\mu_0$ is proved.

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English version:
Theory of Probability and its Applications, 1964, 9:4, 648–653

Received: 19.02.1964

Citation: V. P. Čistyakov, “On Calculation of the Power of the Test of Empty Boxes”, Teor. Veroyatnost. i Primenen., 9:4 (1964), 718–724; Theory Probab. Appl., 9:4 (1964), 648–653

Citation in format AMSBIB
\Bibitem{Chi64}
\by V.~P.~{\v C}istyakov
\paper On Calculation of the Power of the Test of Empty Boxes
\jour Teor. Veroyatnost. i Primenen.
\yr 1964
\vol 9
\issue 4
\pages 718--724
\mathnet{http://mi.mathnet.ru/tvp423}
\transl
\jour Theory Probab. Appl.
\yr 1964
\vol 9
\issue 4
\pages 648--653
\crossref{https://doi.org/10.1137/1109089}


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