Bounds for the hazard rate and the reversed hazard rate of the convolution of dependent random lifetimes

被引:3
作者
Belzunce, Felix [1 ]
Martinez-Riquelme, Carolina [1 ]
机构
[1] Univ Murcia, Fac Matemat, Dept Estadist & Invest Operat, Campus Espinardo, E-30100 Murcia, Spain
关键词
Reliability; hazard rate function; reversed hazard rate function; convolution; dependent random lifetime; LIMITING FAILURE RATE; DISTRIBUTIONS;
D O I
10.1017/jpr.2019.59
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
An upper bound for the hazard rate function of a convolution of not necessarily independent random lifetimes is provided, which generalizes a recent result established for independent random lifetimes. Similar results are considered for the reversed hazard rate function. Applications to parametric and semiparametric models are also given.
引用
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页码:1033 / 1043
页数:11
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