TITLE:
High Order Tensor Forms of Growth Curve Models
AUTHORS:
Zerong Lin, Dongzhe Liu, Xueying Liu, Lingling He, Changqing Xu
KEYWORDS:
Tensor, Generalized Linear Model, Growth Curve Model, Parameter Estimation, Generalized Inverse
JOURNAL NAME:
Advances in Linear Algebra & Matrix Theory,
Vol.8 No.1,
March
1,
2018
ABSTRACT: 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.