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Activity Number:
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29
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Type:
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Contributed
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Date/Time:
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Sunday, August 2, 2009 : 2:00 PM to 3:50 PM
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Sponsor:
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IMS
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| Abstract - #304738 |
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Title:
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Confidence Limits and Prediction Limits for a Weibull Distribution Based on the Generalized Variable Approach
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Author(s):
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Yanping Xia*+ and Kalimuthu Krishnamoorthy and Yin Lin
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Companies:
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Southeast Missouri State University and University of Louisiana-Lafayette and University of Louisiana-Lafayette
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Address:
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Department of Mathematics, Cape Girardeau, MO, 63701,
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Keywords:
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Coverage probability ; Detection limit ; Extreme-value distribution ; One-sided tolerance limits ; Type I left-censored ; Wald method
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Abstract:
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In this article, we consider the problems of constructing confidence interval for a Weibull mean and setting prediction limits for future samples. Specifically, we construct upper prediction limits that include at least l of m samples from a Weibull distribution at each of r locations. The methods are based on the concept of generalized variable approach. The procedures can be easily extended to the type II censored samples, and they can be used to find approximate inferential procedures for type I censored samples. The proposed methods are conceptually simple and easy to use. The results are illustrated using some practical examples.
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