Matrix‐variate time series analysis: A brief review and some new developments

RS Tsay - International Statistical Review, 2024 - Wiley Online Library
This paper briefly reviews the recent research in matrix‐variate time series analysis,
discusses some new developments, especially for seasonal time series, and demonstrates …

On a matrix‐valued autoregressive model

SY Samadi, L Billard - Journal of Time Series Analysis, 2025 - Wiley Online Library
Many data sets in biology, medicine, and other biostatistical areas deal with matrix‐valued
time series. The case of a single univariate time series is very well developed in the …

Additive autoregressive models for matrix valued time series

HF Zhang - Journal of Time Series Analysis, 2024 - Wiley Online Library
In this article, we develop additive autoregressive models (Add‐ARM) for the time series
data with matrix valued predictors. The proposed models assume separable row, column …

Cointegrated matrix autoregression models

Z Li, H **ao - arxiv preprint arxiv:2409.10860, 2024 - arxiv.org
We propose a novel cointegrated autoregressive model for matrix-valued time series, with bi-
linear cointegrating vectors corresponding to the rows and columns of the matrix data …

Dynamic matrix factor models for high dimensional time series

R Yu, R Chen, H **ao, Y Han - arxiv preprint arxiv:2407.05624, 2024 - arxiv.org
Matrix time series, which consist of matrix-valued data observed over time, are prevalent in
various fields such as economics, finance, and engineering. Such matrix time series data …

[PDF][PDF] Analysis of tensor time series: TensorTS

R Chen, Y Han, Z Li, H **ao, D Yang… - Journal of Statistical …, 2022 - statweb.rutgers.edu
Tensor and matrix time series data have been amassed more and more from many areas in
recent years, calling for new statistical models, methods and algorithms for analyzing such …

Simultaneous decorrelation of matrix time series

Y Han, R Chen, CH Zhang, Q Yao - Journal of the American …, 2024 - Taylor & Francis
We propose a contemporaneous bilinear transformation for ap× q matrix time series to
alleviate the difficulties in modeling and forecasting matrix time series when p and/or q are …

Reduced-Rank Matrix Autoregressive Models: A Medium Approach

A Hecq, I Ricardo, I Wilms - arxiv preprint arxiv:2407.07973, 2024 - arxiv.org
Reduced-rank regressions are powerful tools used to identify co-movements within
economic time series. However, this task becomes challenging when we observe matrix …

Matrix GARCH model: Inference and application

C Yu, D Li, F Jiang, K Zhu - Journal of the American Statistical …, 2024 - Taylor & Francis
Matrix-variate time series data are largely available in applications. However, no attempt has
been made to study their conditional heteroscedasticity that is often observed in economic …

Two-way threshold matrix autoregression

C Yu, D Li, XI Zhang, H Tong - arxiv preprint arxiv:2407.10272, 2024 - arxiv.org
Matrix-valued time series data are widely available in various applications, attracting
increasing attention in the literature. However, while nonlinearity has been recognized, the …