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Activity Number:
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516
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Type:
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Contributed
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Date/Time:
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Wednesday, August 5, 2009 : 2:00 PM to 3:50 PM
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Sponsor:
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Section on Physical and Engineering Sciences
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| Abstract - #304901 |
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Title:
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Lower Tolerance Bounds in Accelerated Life Testing: Weibull Models with Inverse Power Relationship
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Author(s):
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Ananda A. Jayawardhana*+ and V. A. Samaranayake
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Companies:
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Pittsburg State University and Missouri University of Science and Technology
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Address:
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Department of Mathematics, Pittsburg, KS, 66762,
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Keywords:
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Tolerance Bounds ; Predictive Density ; Weibull Distribution ; Accelerated Life Testing
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Abstract:
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We consider the problem of obtaining lower tolerance bound for a future observation from a Weibull population at field use (design) stress level, using Type II censored accelerated life test data from higher than design stress levels. The scale parameter of the life distribution is assumed to have an inverse power relationship with the stress level. We use the maximum Likelihood Predictive Density method to derive a predictive density for a future observation as described by Jayawardhana and Samaranayake (2003). The use of a lower percentile point of the predictive density as a lower tolerance bound is investigated using Monte Carlo simulation. The results show that reasonable tolerance bounds can be provided using the predictive density for different levels of tolerance, tolerance content, sample sizes, and acceleration factor.
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