Consistent Estimator of the Shape Parameter of Three-Dimensional Weibull Distribution

In this article, a new estimator for the shape parameter of the three-dimensional Weibull distribution is proposed using order statistics taken from a large scale data set. It is proved that this estimator has good properties, such as asymptotic unbiasedness and consistency. Computer modeling results corroborate practical applicability of the estimator proposed. Recommendations for implementating the estimator are discussed, as well. We investigate the properties of this estimator in large-scale data sets.