A Theorem on Factorial Moments and Its Applications
Iyer, P. V. Krishna
Ann. Math. Statist., Tome 29 (1958) no. 4, p. 254-261 / Harvested from Project Euclid
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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.
Publié le : 1958-03-14
Classification:  
@article{1177706723,
     author = {Iyer, P. V. Krishna},
     title = {A Theorem on Factorial Moments and Its Applications},
     journal = {Ann. Math. Statist.},
     volume = {29},
     number = {4},
     year = {1958},
     pages = { 254-261},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177706723}
}

Iyer, P. V. Krishna. A Theorem on Factorial Moments and Its Applications. Ann. Math. Statist., Tome 29 (1958) no. 4, pp.  254-261. http://gdmltest.u-ga.fr/item/1177706723/