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**Modelling accelerated life testing based on mean residual life.**
*(English)*
Zbl 1087.90020

Summary: Accelerated life testing (ALT) is a widely used approach for reliability demonstration and prediction. Extensive research on ALT models has been focused on Accelerated Failure Time (AFT) models, Proportional Hazards (PH) models and some extensions of these two models. Mean residual life function provides a more descriptive measure of the aging process than the hazard function; however, it has not been used in modelling ALT. In this paper, we propose an ALT model based on a Proportional Mean Residual Life (PMRL) model and demonstrate its applicability in the reliability field. The model utilizes accelerated conditions data to estimate the reliability measures under normal operating conditions and provides a viable alternative to the accelerated failure time (AFT) model and the proportional hazards (PH) model. Some results concerning aging properties for the PMRL model are also studied.

### MSC:

90B25 | Reliability, availability, maintenance, inspection in operations research |

62N03 | Testing in survival analysis and censored data |

62N05 | Reliability and life testing |

### Keywords:

reliability; mean residual life; accelerated life testing; maximum likelihood; proportional hazards model
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\textit{W. Zhao} and \textit{E. A. Elsayed}, Int. J. Syst. Sci. 36, No. 11, 689--696 (2005; Zbl 1087.90020)

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### References:

[1] | DOI: 10.1016/S0167-7152(00)00056-0 · Zbl 1118.62306 |

[2] | Bhattacharjee MC, SIAM J. Algebr. Discrete Meth. 3 pp pp. 56–65– (1982) |

[3] | DOI: 10.1080/03610928508828940 |

[4] | Cox DR, J. Roy. Stat. Soc. B 34 pp pp. 187–220– (1972) |

[5] | Cox DR, Biometrika 62 pp pp. 267–276– (1975) |

[6] | Elsayed EA, Reliability Engineering (1996) |

[7] | DOI: 10.1063/1.332186 |

[8] | Guess F, Handbook of Statistics 7 pp pp. 215–224– (1988) |

[9] | DOI: 10.1080/02331889808802660 · Zbl 0916.62064 |

[10] | Hall WJ, Proceedings of the International Symposium on Statistics and Related Topics pp pp. 169–283– (1981) |

[11] | Maguluri G, J.R. Stat. Soc B 3 pp pp. 477–489– (1994) |

[12] | DOI: 10.1093/biomet/77.2.409 · Zbl 0713.62018 |

[13] | Ross SM, Introduction to Probability Models (2000) |

[14] | DOI: 10.1002/(SICI)1520-6750(199904)46:3<303::AID-NAV4>3.0.CO;2-4 · Zbl 0922.90076 |

[15] | Wang X, PhD dissertation, Department of Industrial Engineering, Rutgers University (2001) |

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.