称为介绍的加权的随机整修的 meansare 和不仅他们的一致性和 asymptotic 规度的柔韧的地点评估者的一个班被证明,但是 theirinfluence 工作 asymptotic 变化和故障点也被导出。他们拥有是的 thesame 故障点中部,并且他们中的一些拥有更高的 asymptotic 亲戚效率 atthe 重尾巴的分布比一些另外的著名地点评估者;而 trimmedmeans, Winsorized 工具和 Huber “ s M 评估者拥有更高的 asymptotic 亲戚效率 atthe 跟踪光的分布,在哪个 Huber ” s M 评估者是最柔韧的。
A class of robust location estimators called weighted randomly trimmed means are introduced and not only their consistency and asymptotic normality are proved, but their influence functions, asymptotic variances and breakdown points are also derived. They possess the same breakdown points as the median, and some of them own higher asymptotic relative efficiencies at the heavy-tailed distributions than some other well-known location estimators; whereas the trimmed means, Winsorized means and Huber's M-estimator possess higher asymptotic relative efficiencies at the light-tailed distributions, in which Huber's M-estimator is the most robust.