Author:
Willmot Gordon E.,Cai Jun
Abstract
Some class properties of the used better (worse)
than aged [UBA (UWA)] and the used better (worse)
than aged in expectation [UBAE (UWAE)] classes
of lifetime distributions are considered. Relationships
with the decreasing (increasing) mean residual lifetime
[DMRL (IMRL)] class and the decreasing (increasing)
variance residual lifetime [DVRL (IVRL)] class
are established. Discrete UBA and UWA distributions are
introduced and studied. Characterizations of UBA and UWA
distributions are derived by using discrete aging properties
of mixed Poisson distributions. Applications of these results
to queueing theory and ruin are then considered. In particular,
preservation of UBA (UWA) and UBAE (UWAE) under a transform
of life distributions is given.
Publisher
Cambridge University Press (CUP)
Subject
Industrial and Manufacturing Engineering,Management Science and Operations Research,Statistics, Probability and Uncertainty,Statistics and Probability
Cited by
19 articles.
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2. Nonparametric Testing for Unknown Age (UBAL) Class of Life Distribution;Journal of Testing and Evaluation;2019-01-21
3. Discrete Ageing Concepts;Reliability Modelling and Analysis in Discrete Time;2018
4. References;Reliability Modelling and Analysis in Discrete Time;2018
5. On the Properties of the UBAC(2) Class of Life Distributions;Journal of Testing and Evaluation;2017-11-10