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Testing for uniformity on a compact homogeneous space

Published online by Cambridge University Press:  14 July 2016

R. J. Beran
R. J. Beran*
Affiliation:
The Johns Hopkins University, Baltimore, Maryland
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Extract

This paper applies the invariance principle to the problem of testing a distribution on a compact homogeneous space for uniformity. The notion of using a reduction by invariance in such a situation is due to Ajne[1], who considers tests invariant under rotation on a circle. In his paper, he derives the distribution of the maximal invariant and gives the general form of the most powerful invariant test for uniformity on the circle.

Type
Research Papers
Information
Journal of Applied Probability , Volume 5 , Issue 1 , April 1968 , pp. 177 - 195
Copyright
Copyright © Sheffield: Applied Probability Trust 

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References

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