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Communications in Statistics - Theory and Methods Volume 40, 2011 - Issue 3
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Original Articles

On the Distributions of Certain Spacings

G. G. Hamedani Department of Mathematics, Statistics and Computer Science, Marquette University, Milwaukee, Wisconsin, USA
&
Hans Volkmer Department of Mathematical Statistics, University of Wisconsin-Milwaukee, Milwaukee, Wisconsin, USACorrespondence[email protected]
Pages 510-514 | Received 01 Apr 2009, Accepted 27 Oct 2009, Published online: 15 Nov 2010
 
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Abstract

A characterization of the uniform distribution based on distributions of spacings is presented which extends the existing result in this direction. Also, a result on the distribution of spacings for distributions close to the uniform one is discussed.

Mathematics Subject Classification:

Acknowledgment

We would like to thank Professor M. Ahsanullah for his comment regarding Theorem 1.1. We are grateful to Barry Arnold for his comments improving the presentation of this work.

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