Bathtub shaped failure rates from mixtures: A practical point of view

被引:27
作者
Wondmagegnehu, EI [1 ]
Navarro, J
Hernandez, PJ
机构
[1] Western Michigan Univ, Dept Stat, Kalamazoo, MI 49008 USA
[2] Univ Murcia, Fac Matemat, Dept Estadist & IO, E-30100 Murcia, Spain
[3] Univ Politecn Cartagena, Fac Ciencias Empresa, Dept Mtodos cuantitat & Informat, Murcia 30203, Spain
关键词
bathtub curve; failure rate function; mixture of distributions; reliability function;
D O I
10.1109/TR.2005.847271
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
We show that a bathtub shaped failure rate can be obtained from a mixture of two increasing failure rate (IFR) models. Specifically, we study the failure rate of the mixture of an exponential distribution, and a Weibull distribution with strictly increasing failure rate. Under some reasonable conditions, we show that, from a practical point of view, the mixture failure rate is bathtub. Similar results can be obtained from other mixtures.
引用
收藏
页码:270 / 275
页数:6
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