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A crossing theorem for distribution functions and their moments

Published online by Cambridge University Press:  17 April 2009

H.L. MacGillivray
H.L. MacGillivray
Affiliation:
Department of Mathematics, University of Queensland, St Lucia, Queensland 4067, Australia.
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Abstract

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It is proved here that for two distribution functions with equal moments up to order n, the number of crossings is at least n, and if exactly n, the remaining odd or even moments (for n even or odd respectively) do not cross again. This both generalises and extends a number of previous results.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 31 , Issue 3 , June 1985 , pp. 413 - 419
Copyright
Copyright © Australian Mathematical Society 1985

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