标题： 树序约束模型的方差估计 显示英文标题

标题： Variance Estimation for Tree Order Restricted Models

摘要： 在本文中，我们讨论了具有树序限制均值的几个正态总体的共同方差的估计。 我们讨论了当总体数量趋于无穷大时，方差的最大似然估计量的渐近性质。 我们考虑了不同样本量顺序的几种情况，并表明方差的最大似然估计量可能一致或不一致，也可能渐近正态或不渐近正态。 显示英文摘要

摘要： In this article we discuss estimation of the common variance of several normal populations with tree order restricted means. We discuss the asymptotic properties of the maximum likelihood estimator of the variance as the number of populations tends to infinity. We consider several cases of various orders of the sample sizes and show that the maximum likelihood estimator of the variance may or may not be consistent or be asymptotically normal.