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Simple proofs of Steck's determinantal expressions for probabilities in the Kolmogorov and Smirnov tests

Published online by Cambridge University Press:  17 April 2009

E.J.G. Pitman
E.J.G. Pitman
Affiliation:
301 Davey Street, Hobart, Tasmania 7000.
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Abstract

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This paper gives simple proofs of two theorems of Steck concerning the distribution of sample distribution functions.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 7 , Issue 2 , October 1972 , pp. 227 - 232
Copyright
Copyright © Australian Mathematical Society 1972

References

[1]Mohanty, S.G., “A short proof of Steck's result on two-sample Smirnov statistics”, Ann. Math. Statist. 42 (1971), 413–414CrossRefGoogle Scholar
[2]Steck, G.P., “The Smirnov two sample tests as rank tests”, Ann. Math. Statist. 40 (1969), 1449–1466.CrossRefGoogle Scholar
[3]Steck, G.P., “Rectangle probabilities for uniform order statistics and the probability that the empirical distribution function lies between two distribution functions”, Ann. Math. Statist. 42 (1971), 1–11.Google Scholar