Abstract
I HAVE recently1 been investigating certain probability distributions arising from points possessing one of k colours or characters arranged on a line or in the form of a rectangular lattice. In the course of these investigations it has been possible to establish the undermentioned theorem, which has proved to be very useful in evaluating the factorial moments of many probability distributions of a discrete nature.
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Krishna Iyer, P. V., Nature, 160, 174 (1948); 162, 133 (1948); J. Ind. Soc. Agric. Stat., 1 (in the press).
Kermack, W. O., and McKendrick, M. G., Proc. Roy. Soc. Edin., 57, 228 and 332 (1937).
Kendall, M. G., “The Advanced Theory of Statistics", 2, 124 (London, Griffin and Co., Ltd., 1946).
Batin, I. N., Ann. Math. Stat., 13, 208 (1942).
Anderson, T. W., Ann. Math. Stat., 14, 426 (1943).
Wilks, S. S., “Mathematical Statistics", 208 (Princeton University Press. 1943).
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IYER, P. Calculation of Factorial Moments of Certain Probability Distributions. Nature 164, 282 (1949). https://doi.org/10.1038/164282a0
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DOI: https://doi.org/10.1038/164282a0
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