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On the Consistency of the Two-Sample Empty Cell Test

Published online by Cambridge University Press:  20 November 2018

M. Csorgo  and
Irwin Guttman
M. Csorgo
Affiliation:
McGill University
Irwin Guttman
Affiliation:
University of Wisconsin
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This paper considers the consistency of the two-sample empty cell test suggested by S. S. Wilks [2]. A description of this test is as follows: Let a sample of n1 independent observations be taken from a population whose cumulative distribution function F1(x) is continuous, but 1 otherwise unknown. Let X(1) < X(2) < … < X(n1) be their order statistics. Let a second sample of n2 observations be taken from a population whose cumulative distribution function is F2(x), assumed continuous, but otherwise unknown.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 7 , Issue 1 , March 1964 , pp. 57 - 63
Copyright
Copyright © Canadian Mathematical Society 1964

References

1. Blum, J. R. and Weiss, L., Consistency of Certain Two-Sample Tests. Ann. Math. Stat., Vol. 28(1957), pp. 242–246.Google Scholar
2. Wilks, S. S., A Combinatorial Test for the Problem of Two Samples from Continuous Distributions. Proceedings of the Fourth Berkeley Symposium, Vol. I (1961), pp. 707–717.Google Scholar
3. Wilks, S. S., Mathematical Statistics. (Wiley, 1962).Google Scholar
4. Csorgo, M. and Guttman, Irwin, On the Empty Cell Test. Technometrics, Vol. 4, (1962), pp. 235–247.Google Scholar