Characterizations of the IFR and DFR aging notions by means of the dispersive order
The purpose of this note is to show a new characterization of the IFR and DFR aging notions by means of the dispersive order. Our result extends results of Mailhot (1987) and of Belzunce, Candel and Ruiz (1995). Our method of proof can also be extended to handle comparisons of "past lives", that is, comparisons of [X - tX < t] for all t, and characterizations of random variables with monotone reversed hazard rates.
Year of publication: |
1997
|
---|---|
Authors: | Pellerey, Franco ; Shaked, Moshe |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 33.1997, 4, p. 389-393
|
Publisher: |
Elsevier |
Subject: | Aging notions Stochastic orders |
Saved in:
Online Resource
Saved in favorites
Similar items by person
-
Comparisons of concordance in additive models
Pellerey, Franco, (2012)
-
The dilation order, the dispersion order, and orderings of residual lives
Belzunce, F., (1997)
-
Preservation of association in multivariate shock and claim models
Belzunce, FĂ©lix, (2002)
- More ...