Journal
IEEE TRANSACTIONS ON RELIABILITY
Volume 61, Issue 1, Pages 32-40Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TR.2011.2168652
Keywords
Heteroscedastic regression; life tests; Weibull distributions; weighted least squares
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We propose a linear regression method for estimating Weibull parameters from life tests. The method uses stochastic models of the unreliability at each failure instant. As a result, a heteroscedastic regression problem arises that is solved by weighted least squares minimization. The main feature of our method is an innovative s-normalization of the failure data models, to obtain analytic expressions of centers and weights for the regression. The method has been Monte Carlo contrasted with Benard's approximation, and Maximum Likelihood Estimation; and it has the highest global scores for its robustness, and performance.
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