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A Theorem on Factorial Moments and Its Applications

P. V. Krishna Iyer
The Annals of Mathematical Statistics
Vol. 29, No. 1 (Mar., 1958), pp. 254-261
Stable URL: http://www.jstor.org/stable/2237312
Page Count: 8
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
A Theorem on Factorial Moments and Its Applications
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Abstract

The theorem that the $s$th factorial moment for the sum of $N$ events is $s!$ times the sum of the expectations for any $s$ of the events occurring simultaneously has been proved by induction. The applications of this result in obtaining easily the moments of a number of distributions arising from a sequence of observations belonging to two continuous populations and other cases have been demonstrated.

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