Inferences on the Parameters of the Birnbaum-Saunders Fatigue Life Distribution Based on Maximum Likelihood Estimation

This paper provides tests of hypotheses and confidence intervals for the scale and shape parameters singly of the Birnbaum-Saunders fatigue life model, each with the other an unknown nuisance parameter. The procedure for each parameter is based on its maximum likelihood estimate, although in the cas...

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Bibliographic Details
Published in:Technometrics 1981-08, Vol.23 (3), p.251-256
Main Authors: Engelhardt, Max, Bain, Lee J., Wright, F. T.
Format: Article
Language:English
Subjects:
Asymptotic value
Confidence interval
Confidence limits
Fatigue life
Gaussian distributions
Inference
Interpolation
Mathematical independent variables
Maximum likelihood estimation
Maximum likelihood estimators
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Summary:This paper provides tests of hypotheses and confidence intervals for the scale and shape parameters singly of the Birnbaum-Saunders fatigue life model, each with the other an unknown nuisance parameter. The procedure for each parameter is based on its maximum likelihood estimate, although in the case of the scale parameter it is necessary to consider conditional procedures.
ISSN:0040-1706
DOI:10.2307/1267788