Some monotonicity properties of the delayed renewal function
- 1 December 1991
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 28 (4) , 811-821
- https://doi.org/10.2307/3214684
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
This publication has 6 references indexed in Scilit:
- On Log-Concave and Log-Convex Infinitely Divisible Sequences and DensitiesThe Annals of Probability, 1988
- DFR Property of First-Passage Times and its Preservation Under Geometric CompoundingThe Annals of Probability, 1988
- Further Monotonicity Properties for Specialized Renewal ProcessesThe Annals of Probability, 1981
- Bounds, Inequalities, and Monotonicity Properties for Some Specialized Renewal ProcessesThe Annals of Probability, 1980
- On a recursion formula and on some Tauberian theoremsJournal of Research of the National Bureau of Standards, 1953
- Über die Koeffizienten reziproker PotenzreihenMathematische Zeitschrift, 1928