Title :
Accuracy of approx confidence bounds using censored Weibull regression data from accelerated life tests
Author :
Vander Wiel, S.A. ; Meeker, William Q.
Author_Institution :
Dept. of Stat., Iowa State Univ., Ames, IA, USA
fDate :
8/1/1990 12:00:00 AM
Abstract :
For censored Weibull regression data arising from typical accelerated life tests (ALTs), the performance of small-sample normal-theory confidence intervals is summarized by three points: (1) they have highly asymmetric error rates; (2) they can be extremely anti-conservative; and (3) these effects worsen when higher confidence levels are used. Likelihood-ratio-based confidence intervals have much more symmetric error rates which are not as extremely anti-conservative as normal-theory intervals can be. For typical ALTs, likelihood-ratio-based confidence intervals are better than those based on asymptotic normal theory. Likelihood-ratio-based confidence intervals require more computation than intervals based on the asymptotic normality of the maximum-likelihood estimators. The resource spent on computing is, however, usually very small compared to the other costs involved in an ALT
Keywords :
life testing; parameter estimation; reliability theory; statistical analysis; accelerated life tests; approximate confidence bounds; asymmetric error rates; asymptotic normal theory; censored Weibull regression data; likelihood-ratio-based confidence intervals; maximum-likelihood estimators; reliability; symmetric error rates; Acceleration; Costs; Data analysis; Error analysis; Life estimation; Life testing; Maximum likelihood estimation; Statistical analysis; Stress; Tellurium;
Journal_Title :
Reliability, IEEE Transactions on