DocumentCode
1315904
Title
Prediction intervals for Weibull observations, based on early-failure data
Author
Hsieh, H.K.
Author_Institution
Dept. of Math. & Stat., Massachusetts Univ., Amherst, MA, USA
Volume
45
Issue
4
fYear
1996
fDate
12/1/1996 12:00:00 AM
Firstpage
666
Lastpage
670
Abstract
Let n similar components with Weibull lives be put on life-test simultaneously, and let the first r failures be observed. A prediction interval for failure-time Xk, 0<r<k⩽n, is constructed. An explicit formula is obtained for computing quantiles of a relevant pivotal statistic. Prediction intervals based on various estimators of parameters and methods are compared. The results can be used to predict the failure-time of a k-out-of-n:F system
Keywords
Weibull distribution; consecutive system reliability; failure analysis; life testing; Weibull observations; early-failure data; failure-time prediction interval; k-out-of-n:F system; life-test; parameter estimation; pivotal statistic quantiles; Estimation theory; Exponential distribution; Life testing; Maximum likelihood estimation; Parameter estimation; Shape; Statistical distributions; Weibull distribution;
fLanguage
English
Journal_Title
Reliability, IEEE Transactions on
Publisher
ieee
ISSN
0018-9529
Type
jour
DOI
10.1109/24.556591
Filename
556591
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