树序约束模型的方差估计
Variance Estimation for Tree Order Restricted Models
摘要:
本文讨论了几个正态总体的共同方差的树序约束均值估计。我们讨论了当总体数趋于无穷大时方差的最大似然估计量的渐近性质。我们考虑了几种情况下的各种顺序的样本量和方差的最大似然估计可能是或可能不是一致的或渐近正态的。
英文摘要:
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.
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