期刊
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
卷 53, 期 3, 页码 801-809出版社
INDIAN NAT SCI ACAD
DOI: 10.1007/s13226-021-00174-w
关键词
BLUP; Covariance matrix; Inertia; OLSP; Rank; Seemingly unrelated regression model
类别
This paper discusses the comparison problems of predictor and estimator within SURMs, establishing equalities and inequalities for covariance matrices of BLUPs and OLSPs under various rank and inertia formulas of block matrices. The comparisons of BLUEs and OLSEs in the models are also considered in the results.
This paper considers comparison problems of predictor and estimator in the context of seemingly unrelated regression models (SURMs). SURMs are a class of multiple regression equations with correlated errors among the equations from linear regression models. Our aim is to establish a variety of equalities and inequalities for comparing covariance matrices of the best linear unbiased predictors (BLUPs) and the ordinary least squares predictors (OLSPs) of unknown vectors under SURMs by using various rank and inertia formulas of block matrices. The results for comparisons of the best linear unbiased estimators (BLUEs) and the ordinary least squares estimators (OLSEs) in the models are also considered.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据