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On a conjecture of T. Lewis

Published online by Cambridge University Press:  17 April 2009

D.N. Shanbhag
D.N. Shanbhag
Affiliation:
Department of Probability and Statistics, University of Sheffield, Sheffield, England.
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Abstract

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In this note, Conjecture Cl of Toby Lewis (1976), concerning a reciprocal pair of characteristic variables, is shown to be false.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 16 , Issue 2 , April 1977 , pp. 253 - 255
Copyright
Copyright © Australian Mathematical Society 1977

References

[1]Lewis, Toby, “Probability functions which are proportional to characteristic functions and the infinite divisibility of the von Moses distribution”, Perspectives in probability and statistics, 19–28 (Academic Press, London, Hew York, San Francisco, 1976).Google Scholar
[2]Lukacs, Eugene, Characteristic functions, second edition, revised and enlarged (Griffin, London, 1970).Google Scholar
[3]Ruegg, Alan, “A characterization of certain infinitely divisible laws”, Ann. Math. Statist. 41 (1970), 1354–1356.CrossRefGoogle Scholar