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Original Articles

The Properties of Moment Estimators for the Weibull Distribution Based on the Sample Coeffkient of Variation

Pages 187-194 | Published online: 23 Mar 2012
 

Abstract

Moment estimators k* and b* for the shape parameter, k, and scale parameter, b, of the twoparameter form of the Weibull distribution,

are given. The estimators are based on the sample coefficient of variation and are shown to be asymptotically efficient with respect to the Cramer-Rao lower bound, and to be asymptotically normally distributed. The asymptotic distribution is determined and a table for calculating the estimators and their approximate variance-covariance matrix is given. Examples of the use of the method and the construction of large sample confidence intervals and confidence regions are given.

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