Comparisons Between Largest Order Statistics from Multiple-outlier Models with Dependence

被引:0
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作者
Jorge Navarro
Nuria Torrado
Yolanda del Águila
机构
[1] Universidad de Murcia,Facultad de Matemáticas
[2] Universidad Autónoma de Madrid,undefined
[3] Universidad de Almería,undefined
关键词
Order statistics; Stochastic orders; Distorted distributions; Parallel systems; Copulas; 62K10; 60E15; 90B25;
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摘要
We study stochastic comparisons between the largest order statistics from samples which may contain outliers. The data in each sample can also be dependent. Under these assumptions we study three cases. In the first one we consider the general case without additional assumptions. In the second we assume that the data come from two different distributions. In the third one we assume that the data come from a proportional hazard rates model. The results obtained here can be applied to compare parallel systems. Some illustrative examples are provided.
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页码:411 / 433
页数:22
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