Count time series with excess zeros: A Bayesian perspective using zero-adjusted distributions

Autor: Luiz Otávio de Oliveira Pala, Marcela de Marillac Carvalho, Thelma Sáfadi
Jazyk: English<br />Portuguese
Rok vydání: 2022
Předmět:
Zdroj: Semina: Ciências Exatas e Tecnológicas, Vol 43, Iss 2 (2022)
Druh dokumentu: article
ISSN: 1679-0375
1676-5451
DOI: 10.5433/1679-0375.2022v43n2p147
Popis: Models for count data which are temporally correlated have been studied using many conditional distributions, such as the Poisson distribution, and the insertion of different dependence structures. Nonetheless, excess of zeros and over dispersion may be observed during the counting process and need to be considered when modelling and choosing a conditional distribution. In this paper, we propose models for counting time series using zero-adjusted distributions by inserting a dependence structure following the ARMA(p, q) process on a Bayesian framework. We perform a simulation study using the proposed Bayesian analysis and analyse the monthly time series of the number of deaths due to dengue haemorrhagic fever (ICD-A91) in Brazil.
Databáze: Directory of Open Access Journals