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| Titel: |
Calculation of small-sample weibull tolerance bounds for accelerated testing |
| Auteur: |
Mann, Nancy R. |
| Verschenen in: |
Communications in statistics |
| Paginering: | Jaargang 7 (1978) nr. 2 pagina's 97-112 |
| Jaar: |
1978 |
| Inhoud: |
In this paper it is assumed that in the range of interest the Arrhenius model or the inverse power law, or more generally, some known polynomial function relates a specified function of level of stress and the logarithm of time-to-failure. The number of stress levels at which testing is performed is assumed to be at least one more than the degree of the polynomial, and the distribution of time-to-failure at these stress levels and at the nominal level is assumed to be two-parameter Weibull with equal shape parameter and scale parameter varying with stress level. The numbers of tests made at the various stress levels need not be equal, but more than a single test must be made at one or more levels. Testing may be censored, even progressively censored, in some cases,For this model, a simple procedure is developed for calculating approximate small-sample lower tolerance bounds (confidence bounds for distribution percentiles) corresponding to the nominal stress level These calculations can be made at the same time point estimates are made of nominal-level percentiles. Numerical comparisons with exact (Monte Carlo generated) tolerance bounds are tabulated |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 3 van 9 gevonden artikelen
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