Count time series are widely encountered in practice. As with continuous valued data, many
count series have seasonal properties. This article uses a recent advance in stationary count …

In this paper, we introduce a class of periodic negative binomial integer-valued generalized
autoregressive conditional heteroskedastic model. The basic probabilistic and statistical …

In this paper a multivariate integer-valued autoregressive model of order one with periodic
time-varying parameters, and driven by a periodic innovations sequence of independent …

This paper deals with the study of some probabilistic and statistical properties of some
particular models of the class of Periodic Integer-Valued Autoregressive Moving Average …

In this paper, we establish the consistency and the asymptotic normality of the Periodic
Poisson (respectively the Periodic Geometric) Quasi Maximum Likelihood estimators,(P− P …

The COVID-19 series is obviously one of the most volatile time series with lots of spikes and
oscillations. The conventional integer-valued auto-regressive time series models (INAR) …

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 …

The aim of this work is to assess the modeling performance of two bivariate models for time
series of counts, within the context of a forest fires analysis in two counties of Portugal. The …

The analysis of the discrete $ time series has received growing attention in linear non $
negative integer $ valued time series models, it is recognized that many of these integer …

This thesis deals with the study of Periodic Integer% valued Autoregressive Moving Average
(PINARMA) models for periodic time series of counts. This work is divided into two …