Statistical inference about the shape parameter of the Weibull distribution

Statistics and Probability Letters

Volumn 36, Issue 1, 1997, Pages 85-90

  Chen, Zhenmin ^a  

^a FLORIDA INTERNATIONAL UNIVERSITY   (United States)

Author keywords

Censored samples; Exact confidence interval; Testing hypotheses

Indexed keywords

EID: 0031573357     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0167-7152(97)00051-5     Document Type: Article

References (13)

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2. Bain, L.J., Engelhardt, M., 1981. Simple approximate distributional results for confidence and tolerance limits for the Weibull distribution based on maximum likelihood estimators. Technometrics 23, 15-20.
3. Bain, L.J., Engelhardt, M., 1986. Approximate distributional results on the maximum likelihood estimators for the Weibull distribution. J. Qual. Technol. 18, 174-181.
4. Billman, B.R., Antle C.E., 1972. Statistical Inference from censored Weibull samples. Technometrics 14, 831-840.
5. Engelhardt, M., Bain, L.J., 1973. Some complete and censored sampling results for the Weibull distribution. Technometrics 15, 541-549.
6. Lawless, J.F., 1973. Conditional versus unconditional confidence intervals for the parameters of the Weibull distribution. J. Amer. Statist. Assoc. 68, 665-669.
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8. Lawless, J.F., 1982. Statistical Models and Methods for Lifetime Data. Wiley, New York.
9. Mann, N.R., 1967. Tables for obtaining the best linear invariant estimates of parameters of the Weibull distribution. Technometrics 9, 629-645.
10. Mann, N.R., Fertig K.W., 1973. Tables for obtaining Weibull Confidence bounds and tolerance bounds based on best linear invariant estimates of parameters of the extreme-value distribution. Technometrics 15, 87-101.
11. Mann, N.R., Schafer, R.E., Singpurwalla, N.D. 1974. Models for Statistical Analysis of Reliability and Life Data. Wiley, New York.
12. Thoman, D.R., Bain, L.J., Antle, C.E., 1969. Inferences on the parameters of the Weibull distribution. Technometrics 11, 445-460.
13. Thoman, D.R., Bain, L.J., Antle, C.E., 1970. Maximum likelihood estimation, exact confidence intervals for reliability, and tolerance limits in the Weibull distribution. Technometrics 12, 363-371.