Self-exciting threshold binomial autoregressive processes

We introduce a new class of integer-valued self-exciting threshold models, which is based on the binomial autoregressive model of order one as introduced by McKenzie (Water Resour Bull 21:645â 650, 1985. doi:10.1111/j.1752-1688.1985.tb05379.x). Basic probabilistic and statistical properties of this...

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Detalhes bibliográficos
Autor principal: Moeller, TA (author)
Outros Autores: Silva, ME (author), Weiss, CH (author), Scotto, MG (author), Pereira, I (author)
Formato: article
Idioma:eng
Publicado em: 2016
Texto completo:https://hdl.handle.net/10216/88556
País:Portugal
Oai:oai:repositorio-aberto.up.pt:10216/88556
Descrição
Resumo:We introduce a new class of integer-valued self-exciting threshold models, which is based on the binomial autoregressive model of order one as introduced by McKenzie (Water Resour Bull 21:645â 650, 1985. doi:10.1111/j.1752-1688.1985.tb05379.x). Basic probabilistic and statistical properties of this class of models are discussed. Moreover, parameter estimation and forecasting are addressed. Finally, the performance of these models is illustrated through a simulation study and an empirical application to a set of measle cases in Germany. Â(c) 2015 Springer-Verlag Berlin Heidelberg