Count time series: A methodological review

RA Davis, K Fokianos, SH Holan, H Joe… - Journal of the …, 2021 - Taylor & Francis
A growing interest in non-Gaussian time series, particularly in series comprised of
nonnegative integers (counts), is taking place in today's statistics literature. Count series …

tscount: An R package for analysis of count time series following generalized linear models

T Liboschik, K Fokianos, R Fried - Journal of Statistical Software, 2017 - jstatsoft.org
The R package tscount provides likelihood-based estimation methods for analysis and
modeling of count time series following generalized linear models. This is a flexible class of …

Stationary count time series models

CH Weiß - Wiley Interdisciplinary Reviews: Computational …, 2021 - Wiley Online Library
Abstract During the last 20–30 years, there was a remarkable growth in interest on
approaches for stationary count time series. We consider popular classes of models for such …

Multivariate count autoregression

K Fokianos, B Støve, D Tjøstheim, P Doukhan - 2020 - projecteuclid.org
Multivariate count autoregression Page 1 Bernoulli 26(1), 2020, 471–499 https://doi.org/10.3150/19-BEJ1132
Multivariate count autoregression KONSTANTINOS FOKIANOS1, BÅRD STØVE2,*, DAG …

Softplus INGARCH models

CH Weiß, F Zhu, A Hoshiyar - Statistica Sinica, 2022 - JSTOR
Numerous models have been proposed for count time series, including the integer-valued
autoregressive moving average (ARMA) and integer-valued generalized autoregressive …

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 …

Beta–negative binomial auto-regressions for modelling integer-valued time series with extreme observations

P Gorgi - Journal of the Royal Statistical Society Series B …, 2020 - academic.oup.com
The paper introduces a general class of heavy-tailed auto-regressions for modelling integer-
valued time series with outliers. The specification proposed is based on a heavy-tailed …

Count and duration time series with equal conditional stochastic and mean orders

A Aknouche, C Francq - Econometric Theory, 2021 - cambridge.org
We consider a positive-valued time series whose conditional distribution has a time-varying
mean, which may depend on exogenous variables. The main applications concern count or …

Modeling and inference for multivariate time series of counts based on the INGARCH scheme

S Lee, D Kim, B Kim - Computational Statistics & Data Analysis, 2023 - Elsevier
Modeling multivariate time series of counts using the integer-valued generalized
autoregressive conditional heteroscedastic (INGARCH) scheme is proposed. The key idea …

A new bivariate integer-valued GARCH model allowing for negative cross-correlation

Y Cui, F Zhu - Test, 2018 - Springer
Univariate integer-valued time series models, including integer-valued autoregressive
(INAR) models and integer-valued generalized autoregressive conditional heteroscedastic …