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March, 1958 A Theorem on Factorial Moments and Its Applications
P. V. Krishna Iyer
Ann. Math. Statist. 29(1): 254-261 (March, 1958). DOI: 10.1214/aoms/1177706723


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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P. V. Krishna Iyer. "A Theorem on Factorial Moments and Its Applications." Ann. Math. Statist. 29 (1) 254 - 261, March, 1958.


Published: March, 1958
First available in Project Euclid: 27 April 2007

zbMATH: 0089.15503
MathSciNet: MR93841
Digital Object Identifier: 10.1214/aoms/1177706723

Rights: Copyright © 1958 Institute of Mathematical Statistics

Vol.29 • No. 1 • March, 1958
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