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**Accelerated life models when the stress is not constant.**
*(English)*
Zbl 0760.62091

The author introduces the idea of a “relation functional” to conceptualize the notion of accelerated life test models in a unified framework. Two models are considered, which are shown to include the so called power rule, Arrhenius and the Eyring laws as well as the models of Miner, Sediakins and Stepanova-Peses as special cases. A statistical test for the ADD (additive accumulated damage) model is considered.

Reviewer: M.C.Bhattacharjee (Newark)

### MSC:

62N05 | Reliability and life testing |

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

### Keywords:

Arrhenius law; Eyring law; relation functional; additive accumulated damage; accelerated life test models; power rule### References:

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[3] | J. Sethuraman, N. D. Singpurwalla: Testing of hypothesis for distributions in accelerated life tests. J. Amer. Statist. Assoc. 77 (1982), 1, 204-208. |

[4] | M. Shaked, N. D. Singpurwalla: Nonparametric estimation and goodness-of-fit testing of hypothesis for distributions in accelerated life testing. IEEE Trans, on Reliability 3 (1982), 1,69-74. · Zbl 0489.62084 |

[5] | I. Ushakov: Reliability of Technical Systems (in Russian). Radio and Communications, Moscow 1983. |

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