Title :
Properties of Moment Estimators For the 3-Parameter Weibull Distribution
Author_Institution :
Lecturer in Industrial Technology; School of Industrial Technology; University of Bradford; Bradford, BD7 1DP; ENGLAND.
fDate :
6/1/1984 12:00:00 AM
Abstract :
This paper gives a method of constructing moment estimators for the shape, scale, and location parameters of the 3-parameter Weibull distribution. These estimators are asymptotically s-normally distributed around the population values; the asymptotic covariance matrix is obtained. The estimators and their estimated covariance matrix can be constructed by using tables in the paper; the covariance matrix can then be used to construct s-confidence regions for the estimators.
Keywords :
Covariance matrix; Equations; Iterative methods; Maximum likelihood estimation; Parameter estimation; Reliability theory; Shape; State estimation; Statistical distributions; Weibull distribution; Moment estimator; Weibull distribution; s-Confidence limit;
Journal_Title :
Reliability, IEEE Transactions on
DOI :
10.1109/TR.1984.5221775