Negative ageing properties for counting processes arising in virtual age models

F.G. Badia; C. Sangueesa

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Negative ageing properties for counting processes arising in virtual age models

机译：负老化属性，用于计算虚拟年龄模型中出现的过程

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This paper is focused on counting processes of interest in reliability theory. In particular, we study virtual age models. Our aim is to consider these counting models stopped at a random time T, independent of the process. We investigate the negative ageing properties for the stopped process (decreasing failure rate and log-convexity), provided that T has the analogous properties. For instance, we show that these properties hold for the so-called Kijima type Ⅰ virtual age models, of interest in reliability, under quite general assumptions.

机译：本文着重于对可靠性理论中感兴趣的过程进行计数。特别是，我们研究虚拟年龄模型。我们的目标是考虑独立于过程而在随机时间T停止的这些计数模型。我们研究停止过程的负老化特性（降低故障率和对数凸性），前提是T具有类似的特性。例如，我们表明，在相当笼统的假设下，这些性质对于所谓的KijimaⅠ型虚拟年龄模型成立，并且对可靠性感兴趣。

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来源
《Applied Mathematical Modelling》 |2016年第10期|5271-5282|共12页
作者
F.G. Badia; C. Sangueesa;
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作者单位

Departamento de Metodos Estadisticos and IUMA, Universidad de Zaragoza, Zaragoza, Spain;

Departamento de Metodos Estadisticos and IUMA, Universidad de Zaragoza, Zaragoza, Spain;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Decreasing failure rate; Counting process; Stochastic order; Maintenance model; Virtual age model;

机译：降低故障率;计数过程;随机顺序;维修模式;虚拟年龄模型;

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Negative ageing properties for counting processes arising in virtual age models

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