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References (25)
-
S. Ross (2005)
On increasing-failure-rate random variablesJournal of Applied Probability, 42
-
S. Ross (1972)
Introduction to Probability Models, Eighth Edition -
I. Ahmad, A. Ahmed, I. Elbatal, M. Kayid (2006)
An aging notion derived from the increasing convex ordering: the NBUCA classJournal of Statistical Planning and Inference, 136
-
R. Rodríguez-Dagnino, H. Takagi (2010)
Application of renewal theory to call handover counting and dynamic location management in cellular mobile networksEur. J. Oper. Res., 204
-
A. Jean-Marie, Zhen Liu (1992)
Stochastic comparisons for queueing models via random sums and intervalsAdvances in Applied Probability, 24
-
B. Klefsjö (1982)
Some properties of the HNBUE and HNWUE classes of life distributions -
E. Titchmarsh (1943)
The Laplace TransformNature, 151
-
H. Block, T. Savits (1980)
Laplace Transforms for Classes of Life DistributionsAnnals of Probability, 8
-
J. Esary, A. Marshall (1973)
Shock Models and Wear ProcessesAnnals of Probability, 1
-
Jinhua Cao, Yuedong Wang (1991)
The NBUC and NWUC classes of life distributionsJournal of Applied Probability, 28
-
N. Nair, P. Sankaran (2010)
Properties of a mean residual life function arising from renewal theoryNaval Research Logistics (NRL), 57
-
R. Barlow, F. Proschan (1976)
Statistical Theory of Reliability and Life Testing: Probability Models -
J. Weide, M. Pandey, J. Noortwijk (2010)
Discounted cost model for condition-based maintenance optimizationReliab. Eng. Syst. Saf., 95
-
J. Shanthikumar (1988)
DFR Property of First-Passage Times and its Preservation Under Geometric CompoundingAnnals of Probability, 16
-
K. Pavlova, Jun Cai, G. Willmot (2006)
The preservation of classes of discrete distributions under convolution and mixingInsurance Mathematics & Economics, 38
-
Badía Badía, Sangüesa Sangüesa (2008)
Preservation of reliability classes under mixtures of renewal processesProbability in the Engineering and Informational Sciences, 22
-
R. Haji, G. Newell (1971)
A relation between stationary queue and waiting time distributionsJournal of Applied Probability, 8
-
Klefsjö Klefsjö (1982)
The HNBUE and HNWUE classes of life distributionsNaval Research Logistics Quarterly, 29
-
Barry Cuffe, M. Friedman (2006)
On the exact distribution of a delayed renewal process with exponential sum interarrival timesEur. J. Oper. Res., 172
-
F. Badía, C. Sangüesa, Universidad Zaragoza, Zaragoza Spain
Pre-publicaciones Del Seminario Matematico 2007 Preservation of Reliability Classes under Mixtures of Renewal Processes Preservation of Reliability Classes under Mixtures of Renewal Processes -
S. Asmussen (1989)
Applied Probability and Queues -
Mark Brown (1980)
BOUNDS, INEQUALITIES, AND MONOTONICITY PROPERTIES FOR SOME SPECIALIZED RENEWAL PROCESSES'Annals of Probability, 8
-
J. Grandell (1997)
Mixed Poisson Processes -
A. Nanda (2000)
GENERALIZED AGEING CLASSES IN TERMS OF LAPLACE TRANSFORMS -
A. Müller, D. Stoyan (2002)
Comparison Methods for Stochastic Models and Risks
- Publisher
- Wiley
- Copyright
- Copyright © 2012 John Wiley & Sons, Ltd.
- ISSN
- 1524-1904
- eISSN
- 1526-4025
- DOI
- 10.1002/asmb.921
- Publisher site
- See Article on Publisher Site
Abstract
In this paper, we show that some ageing classes of a random time T related to the mean residual life are preserved by the discrete random count variable N(T), where {N(t) : t ⩾0}is a renewal process independent from T under suitable conditions. In the particular case of the Poisson process, we extend the results to more reliability classes. We also consider real examples of N(T) and apply the results to queuing systems. Copyright © 2011 John Wiley & Sons, Ltd.
Journal
Applied Stochastic Models in Business and Industry – Wiley
Published: Jul 1, 2012