×

On dynamic proportional mean residual life model. (English) Zbl 1282.90058

Summary: Recently, proportional mean residual life model has received a lot of attention after the importance of the model was discussed by H. Zahedi [J. Stat. Plann. Inf. 29, 221–228 (1991)]. In this paper, we define dynamic proportional mean residual life model and study its properties for different aging classes. The closure of this model under different stochastic orders is also discussed. Many examples are presented to illustrate different properties of the model.

MSC:

90B25 Reliability, availability, maintenance, inspection in operations research
60E99 Distribution theory
PDF BibTeX XML Cite
Full Text: DOI

References:

[1] DOI: 10.1109/24.406570 · Zbl 04527630
[2] DOI: 10.1016/j.spl.2005.10.019 · Zbl 1089.62120
[3] International Journal of Reliability and Applications 2 pp 1– (2001)
[4] DOI: 10.1080/02331889808802660 · Zbl 0916.62064
[5] Journal of Statistical Planning and Inference 29 pp 221– (1991)
[6] DOI: 10.1080/03610929808832134 · Zbl 0900.62534
[7] Stochastic orders (2007) · Zbl 1111.62016
[8] DOI: 10.1109/24.799897 · Zbl 04555584
[9] DOI: 10.1093/biomet/77.2.409 · Zbl 0713.62018
[10] Journal of the Royal Statistical Society, Series B 34 pp 187– (1972)
[11] DOI: 10.1080/01621459.1969.10501072
[12] DOI: 10.1016/j.jspi.2010.12.025 · Zbl 1209.62244
[13] DOI: 10.1109/TR.2009.2035791
[14] DOI: 10.1016/j.spl.2006.08.002 · Zbl 1108.62105
[15] Journal of the Royal Statistical Society, Series B 56 pp 477– (1994)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.