DocumentCode :
807504
Title :
Reliability tests for Weibull distribution with varying shape-parameter, based on complete data
Author :
Hisada, Koji ; Arizino, Ikuo
Author_Institution :
Dept. of Ind. Eng., Osaka Prefectural Univ., Sakai, Japan
Volume :
51
Issue :
3
fYear :
2002
fDate :
9/1/2002 12:00:00 AM
Firstpage :
331
Lastpage :
336
Abstract :
The Weibull distribution indexed by scale and shape parameters is generally used as a distribution of lifetime. In determining whether or not a production lot is accepted, one wants the most effective sample size and the acceptance criterion for the specified producer and consumer risks. (μ0 ≡ acceptable MTTF; μ1 ≡ rejectable MTTF). Decide on the most effective reliability test satisfying both constraints: Pr{reject a lot | MTTF = μ0} ⩽ α, Pr{accept a lot | MTTF = μ1 } ⩽ β. α, β are the specified producer, consumer risks. Most reliability tests for assuring MTTF in the Weibull distribution assume that the shape parameter is a known constant. Thus such a reliability test for assuring MTTF in Weibull distribution is concerned only with the scale parameter. However, this paper assumes that there can be a difference between the shape parameter in the acceptable distribution and in the rejectable distribution, and that both the shape parameters are respectively specified as interval estimates. This paper proposes a procedure for designing the most effective reliability test, considering the specified producer and consumer risks for assuring MTTF when the shape parameters do not necessarily coincide with the acceptable distribution and the rejectable distribution, and are specified with the range. This paper assumes that α < 0.5 and β < 0.5. This paper confirms that the procedure for designing the reliability test proposed here applies is practical
Keywords :
Weibull distribution; failure analysis; reliability; risk management; testing; χ2 approximation; Weibull distribution; Wilson-Hilferty approximation; acceptable MTTF; acceptable distribution; acceptance criterion; complete data; consumer risks; interval estimates; lifetime distribution; producer risks; production lot; rejectable MTTF; rejectable distribution; reliability tests; varying shape-parameter; Exponential distribution; Fitting; Helium; Industrial engineering; Life testing; Maximum likelihood estimation; Production; Shape; Standards publication; Weibull distribution;
fLanguage :
English
Journal_Title :
Reliability, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9529
Type :
jour
DOI :
10.1109/TR.2002.801845
Filename :
1028405
Link To Document :
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