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Decomposition of Weibull Mixture-Distributions in Accelerated Life Testing by Bayesian Methods

In: Probability and Bayesian Statistics

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  • Harald Strelec

    (Technical University of Vienna, Institute of Statistics)

Abstract

Practical reliability analysis shows that in most cases a bathtub like hazard rate function best fits real life time data. This fact can be explained by a succession of time intervals in which early failures dominate in the first one, random failures in the second one and wear-out failures in the last part (see fig.l). But whereas there are many probability distributions which can describe monotonic hazard rate functions unfortunately there are only few ones which have bathtub like hazard rate functions. Perhaps the best one among the latter ones is the model of Hjorth (1980). He used three parameters to treat the problem. But the applicability of this model seems to be constrained.

Suggested Citation

  • Harald Strelec, 1987. "Decomposition of Weibull Mixture-Distributions in Accelerated Life Testing by Bayesian Methods," Springer Books, in: R. Viertl (ed.), Probability and Bayesian Statistics, pages 455-461, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4613-1885-9_46
    DOI: 10.1007/978-1-4613-1885-9_46
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