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Prediction Bounds in Accelerated Life Testing: Weibull Models with Inverse Power Relationship

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Title: Prediction Bounds in Accelerated Life Testing: Weibull Models with Inverse Power Relationship


1
Prediction Bounds in Accelerated Life Testing
Weibull Models with Inverse Power Relationship
  • ???????
  • ?? A. A. JAYAWARDHANA V. A.
    SAMARANAYAKE
  • ??? ???
  • 2006/09/01

2
OUTLINE
  • Introduction
  • Maximum Likelihood Predictive Density
  • The Proposed Method
  • Monte Carlo Simulation
  • An Example
  • Possible Extensions
  • Conclusions

3
Introduction
  • Parametric accelerated life testing models have
    two components.
  • We assume the life distribution to be Weibull and
    the scale parameter to be an inverse power
    function of the stress.
  • Maximum likelihood predictive density approach.

4
Maximum Likelihood Predictive Density
5
The Proposed Method
  • ?????Weibull?????????
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  • v?????????????????????
  • ?Weibull??????????
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6
  • ???????MLE??????,MLE??????????????????,???????????
    ???,?????????????????????

7
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8
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9
Monte Carlo Simulation-1
10
Monte Carlo Simulation-2
11
Monte Carlo Simulation-3
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12
An Example
13
(No Transcript)
14
(No Transcript)
15
(No Transcript)
16
Possible Extensions
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  • ??MLE???,??????????????????????????????????

17
Conclusions
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    ??????????????,?????????Pareto????????????????????
    ?????,????????????????????????????????????,???????
    ?????????????

18
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