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Abstract
A modification of moment estimators, in which the third moment is replaced with the first order statistic, is presented for parameters of the three-parameter Weibull distribution. Calculations are made easy with the aid of accompanying charts and tables. The modified estimators enjoy advantages over the traditional moment and maximum likelihood estimators with respect to bias and variance. Unlike the maximum likelihood estimators which break down for some values of the shape parameter, estimators presented in this paper are applicable over the entire parameter space. Two illustrative examples are included.
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Notes on contributors
A. Clifford Cohen
Dr. Cohen is Professor Emeritus of Statistics in the Department of Statistics and Computer Science. He is a Founding Member and Fellow of ASQC.
Betty Jones Whitten
Dr. Whitten is an Associate Professor in the Department of Quantitative Business Analysis.
Yihua Ding
Mrs. Ding is a Reliability Engineer. During 1982–1983, she was a visiting scholar at the University of Georgia.
