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Dispersive ordering of distributions

Published online by Cambridge University Press:  01 July 2016

D. J. Saunders
D. J. Saunders*
Affiliation:
British Broadcasting Corporation
*
∗Postal address: British Broadcasting Corporation, Open University Production Centre, Walton Hall, Milton Keynes, MK7 6BH, UK.
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Shaked (1982) gives a characterisation of dispersive ordering for distributions which are absolutely continuous with interval supports. However there is a technical error in his proof of the second part of Theorem 2.1, although the result is still true. The difficulty arises because zero terms are discarded in the definition of the sign change operator S. Therefore the equality of and x′ does not imply that

Type
Letters to the Editor
Information
Advances in Applied Probability , Volume 16 , Issue 3 , September 1984 , pp. 693 - 694
Copyright
Copyright © Applied Probability Trust 1984 

References

Lynch, J., Mimmack, G. and Proschan, F. (1983) Dispersive ordering results. Adv. Appl. Prob. 15, 889–891.CrossRefGoogle Scholar
Shaked, M. (1982) Dispersive ordering of distributions. J. Appl. Prob. 19, 310–320.CrossRefGoogle Scholar