High Order Tensor Forms of Growth Curve Models

• 作者: Changqing Xu Dongzhe Liu Lingling He Xueying Liu Zerong Lin
• 来源期刊: 线性代数与矩阵理论研究进展(英文)
• 学科: 数学
• 关键词: TENSOR GENERALIZED Linear MODEL Growth CURVE MODEL Parameter Estimation GENERALIZED INVERSE
• 年，卷（期）: 2018,（1）
• 页码范围: 18-32
• 页数: 15页
• 分类号: O1

摘要

In this paper, we first study the linear regression model and obtain a norm-minimized estimator of the parameter vector by using the g-inverse and the singular value decomposition of matrix X. We then investigate the growth curve model (GCM) and extend the GCM to a generalized GCM (GGCM) by using high order tensors. The parameter estimations in GGCMs are also achieved in this way.