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Some monotonicity properties of the delayed renewal function

Published online by Cambridge University Press:  14 July 2016

B. G. Hansen  and
J. B. G. Frenk
B. G. Hansen
Affiliation:
Georg-August-University, Göttingen
J. B. G. Frenk*
Affiliation:
Erasmus University, Rotterdam
*
∗∗ Postal address: Econometric Institute, Erasmus University, P.O. Box 1738, NL-3000 DR Rotterdam, The Netherlands.
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Abstract

Analogues of some theorems of Brown (1980) concerning renewal measures with DFR or IMRL underlying distributions are proved for delayed renewal measures. Some related results, such as partial converses of the main theorems, are also presented.

Keywords

DFRIMRNWULOG-CONVEX
Type
Research Papers
Information
Journal of Applied Probability , Volume 28 , Issue 4 , December 1991 , pp. 811 - 821
Copyright
Copyright © Applied Probability Trust 1991 

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Footnotes

∗

Present address: Commission of the European Communities, JRC Ispra Establishment, Inst, for the Environment, Envir. Chem./Life Sci. Division, 1–21020 Ispra (Varese), Italy.

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