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 …

[LLIBRE][B] An introduction to discrete-valued time series

CH Weiß - 2018 - books.google.com
A much-needed introduction to the field of discrete-valued time series, with a focus on count-
data time series Time series analysis is an essential tool in a wide array of fields, including …

A negative binomial integer‐valued GARCH model

F Zhu - Journal of Time Series Analysis, 2011 - Wiley Online Library
This article discusses the modelling of integer‐valued time series with overdispersion and
potential extreme observations. For the problem, a negative binomial INGARCH model, a …

Observation‐driven models for Poisson counts

RA Davis, WTM Dunsmuir, SB Streett - Biometrika, 2003 - academic.oup.com
This paper is concerned with a general class of observation‐driven models for time series of
counts whose conditional distributions given past observations and explanatory variables …

Modelling time series count data: an autoregressive conditional Poisson model

A Heinen - Available at SSRN 1117187, 2003 - papers.ssrn.com
This paper introduces and evaluates new models for time series count data. The
Autoregressive Conditional Poisson model (ACP) makes it possible to deal with issues of …

Theory and inference for a class of nonlinear models with application to time series of counts

RA Davis, H Liu - Statistica Sinica, 2016 - JSTOR
This paper studies theory and inference related to a class of time series models that
incorporates nonlinear dynamics. It is assumed that the observations follow a one-parameter …

Time series of count data: modeling, estimation and diagnostics

RC Jung, M Kukuk, R Liesenfeld - Computational Statistics & Data Analysis, 2006 - Elsevier
Various models for time series of counts which can account for discreteness, overdispersion
and serial correlation are compared. Besides observation-and parameter-driven models …

Dynamic modeling for persistent event-count time series

PT Brandt, JT Williams, BO Fordham, B Pollins - American Journal of Political …, 2000 - JSTOR
We present a method for estimating event-count models when the data is generated from a
persistent time-series process. A Kalman filter is used to estimate a Poisson exponentially …

Forecasting the intermittent demand for slow-moving inventories: A modelling approach

RD Snyder, JK Ord, A Beaumont - International Journal of Forecasting, 2012 - Elsevier
Organizations with large-scale inventory systems typically have a large proportion of items
for which demand is intermittent and low volume. We examine various different approaches …

Count time series models

K Fokianos - Handbook of statistics, 2012 - Elsevier
We review regression models for count time series. We discuss the approach that is based
on generalized linear models and the class of integer autoregressive processes. The …