Author:
Alzaid Abdulhamid,Kim Jee Soo,Proschan Frank
Abstract
Two arbitrary life distributions F and G can be ordered with respect to their Laplace transforms. We say is Laplace-smaller than for all s > 0. Interpretations of this ordering concept in reliability, operations research, and economics are described. General preservation properties are presented. Using these preservation results we derive useful inequalities and discuss their applications to M/G/1 queues, time series, coherent systems, shock models and cumulative damage models.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Reference15 articles.
1. Some Reliability Applications of the Variability Ordering
2. A useful ageing property based on the Laplace transform
3. HNBUE survival under some shock models;Klefsjö;Scand. J. Statist.,1981
4. Modeling and residual analysis of non-linear autoregressive time series n-exponential variables (with discussion);Lawrance;J. R. Statist. Soc.,1985
Cited by
72 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献