This article aims at providing a comprehensive survey of recent developments in the field of
integer-valued time series modelling, paying particular attention to models obtained as …

This paper devotes to give a comprehensive review of Z-valued time series models, which
allow negative autocorrelations besides positive autocorrelations. Z-valued versions of …

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 …

While considerable attention has been given to data driven methods that analyse and
control energy systems in buildings, the same cannot be said for building water systems. As …

In this article, we introduce a multiplicative integer‐valued time series model, which is
defined as the product of a unit‐mean integer‐valued independent and identically …

A topical problem of robust statistical estimation of parameters for binomial conditionally
nonlinear autoregressive (BiCNAR) time series under innovation outliers is considered. This …

Binomial integer-valued AR processes have been well studied in the literature, but there is
little progress in modeling bounded integer-valued time series with outliers. In this paper, we …

We propose methods for detecting structural changes in time series with discrete‐valued
observations. The detector statistics come in familiar L2‐type formulations incorporating the …

Abstract The Generalized Linear Autoregressive Moving Average (GLARMA) model has
been used in epidemiological studies to evaluate the impact of air pollutants on health. Due …

We propose testing procedures for the hypothesis that a given set of discrete observations
may be formulated as a particular time series of counts with a specific conditional law. The …