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September, 1956 Distribution of the Sum in Random Samples from a Discrete Population
Chia Kuei Tsao
Ann. Math. Statist. 27(3): 703-712 (September, 1956). DOI: 10.1214/aoms/1177728177


In [1], the author proposed a "rank sum" criterion for testing whether or not a sample was drawn from a population having a completely specified continuous distribution. This criterion under the null hypothesis is distributed as the sum in a random sample from a discrete uniform population; it is otherwise distributed as the sum from a more general discrete population. In this paper we give a method of finding numerically the distribution of such random variables. Tables are given for the distribution of the sums from certain selected discrete uniform distributions. Normal approximations are investigated and applications are briefly discussed.


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Chia Kuei Tsao. "Distribution of the Sum in Random Samples from a Discrete Population." Ann. Math. Statist. 27 (3) 703 - 712, September, 1956.


Published: September, 1956
First available in Project Euclid: 28 April 2007

zbMATH: 0073.35401
MathSciNet: MR81004
Digital Object Identifier: 10.1214/aoms/1177728177

Rights: Copyright © 1956 Institute of Mathematical Statistics

Vol.27 • No. 3 • September, 1956
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