A systematic review of INGARCH models for integer-valued time series

M Liu, F Zhu, J Li, C Sun - Entropy, 2023 - mdpi.com
Count time series are widely available in fields such as epidemiology, finance, meteorology,
and sports, and thus there is a growing demand for both methodological and application …

Multivariate threshold integer-valued autoregressive processes with explanatory variables

K Yang, N Xu, H Li, Y Zhao, X Dong - Applied Mathematical Modelling, 2023 - Elsevier
To capture the multivariate count time series showing piecewise phenomena, we introduce
a class of first-order multivariate threshold integer-valued autoregressive process. The …

Multivariate count time series modelling

K Fokianos - Econometrics and Statistics, 2024 - Elsevier
Autoregressive models are reviewed for the analysis of multivariate count time series. A
particular topic of interest which is discussed in detail is that of the choice of a suitable …

Bayesian modeling of spatial integer-valued time series

CWS Chen, CS Chen, MH Hsiung - Computational Statistics & Data …, 2023 - Elsevier
Many infectious diseases spread through person-to-person contact, either directly or
indirectly. The proposal incorporates spatial-temporal patterns into multivariate integer …

On the Validity of Granger Causality for Ecological Count Time Series

KG Papaspyropoulos, D Kugiumtzis - Econometrics, 2024 - mdpi.com
Knowledge of causal relationships is fundamental for understanding the dynamic
mechanisms of ecological systems. To detect such relationships from multivariate time …

Multivariate zero-inflated INGARCH models: Bayesian inference and composite likelihood approach

LSC Piancastelli, RB Silva - Statistics and Computing, 2025 - Springer
In this paper, we propose a framework for modeling multivariate count time series data that
accommodates zero-inflated components. Our approach is based on a novel class of …

The Circumstance-Driven Bivariate Integer-Valued Autoregressive Model

H Wang, CH Weiß - Entropy, 2024 - mdpi.com
The novel circumstance-driven bivariate integer-valued autoregressive (CuBINAR) model
for non-stationary count time series is proposed. The non-stationarity of the bivariate count …

First-order multivariate integer-valued autoregressive model with multivariate mixture distributions

W Yu, H Zheng - Journal of Statistical Computation and Simulation, 2024 - Taylor & Francis
The univariate integer-valued time series has been extensively studied, but literature on
multivariate integer-valued time series models is quite limited and the complex correlation …

A multivariate heavy-tailed integer-valued GARCH process with EM algorithm-based inference

Y Jang, RR Sundararajan, W Barreto-Souza - Statistics and Computing, 2024 - Springer
A new multivariate integer-valued Generalized AutoRegressive Conditional Heteroscedastic
(GARCH) process based on a multivariate Poisson generalized inverse Gaussian …

Granger Causality for Mixed Time Series Generalized Linear Models: A Case Study on Multimodal Brain Connectivity

LSC Piancastelli, W Barreto-Souza, NJ Fortin… - arXiv preprint arXiv …, 2024 - arxiv.org
This paper is motivated by studies in neuroscience experiments to understand interactions
between nodes in a brain network using different types of data modalities that capture …