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On Arnold's treatment of Moran's bounds

Published online by Cambridge University Press:  01 July 2016

M. J. Buckley  and
E. Seneta
M. J. Buckley*
Affiliation:
University of Sydney
E. Seneta*
Affiliation:
University of Sydney
*
∗Postal address for both authors: Department of Mathematical Statistics, University of Sydney, NSW 2006, Australia.
∗Postal address for both authors: Department of Mathematical Statistics, University of Sydney, NSW 2006, Australia.
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Abstract

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We prove a conjecture of Arnold (1968) which simplifies the determination of an optimal bound on absorption probability originally due to Moran (1960).

Keywords

ABSORPTION PROBABILITYMARKOV-CHAIN MODEL WITH SELECTION
Type
Letters to the Editor
Information
Advances in Applied Probability , Volume 15 , Issue 1 , March 1983 , pp. 212 - 213
Copyright
Copyright © Applied Probability Trust 1983 

References

Arnold, B. C. (1968) A modification of a result due to Moran. J. Appl. Prob. 5, 220–223.Google Scholar
Moran, P. A. P. (1960) The survival of a mutant gene under selection II. J. Austral. Math. Soc. 1, 485–491.Google Scholar