The Annals of Mathematical Statistics

Distribution of the Sum in Random Samples from a Discrete Population

Chia Kuei Tsao

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Abstract

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.

Article information

Source
Ann. Math. Statist., Volume 27, Number 3 (1956), 703-712.

Dates
First available in Project Euclid: 28 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aoms/1177728177

Digital Object Identifier
doi:10.1214/aoms/1177728177

Mathematical Reviews number (MathSciNet)
MR81004

Zentralblatt MATH identifier
0073.35401

JSTOR
links.jstor.org

Citation

Tsao, Chia Kuei. Distribution of the Sum in Random Samples from a Discrete Population. Ann. Math. Statist. 27 (1956), no. 3, 703--712. doi:10.1214/aoms/1177728177. https://projecteuclid.org/euclid.aoms/1177728177


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