Estimation of large approximate dynamic matrix factor models based on the EM algorithm and Kalman filtering
基于 EM 算法与卡尔曼滤波的大型近似动态矩阵因子模型估计
This paper considers an approximate dynamic matrix factor model that accounts for the time series nature of the data by explicitly modelling the time evolution of the factors. We study estimation of the model parameters based on the Expectation Maximization (EM) algorithm, implemented jointly with the Kalman smoother which gives estimates of the factors. We establish the consistency of the estimated loadings and factor matrices as the sample size $T$ and the matrix…