type="main" xml:id="jtsa12078-abs-0001"The parameters of integer autoregressive models with Poisson, or negative binomial innovations can be estimated by maximum likelihood where the prediction error decomposition, together with convolution methods, is used to write down the likelihood function....

In the course of the analysis of time series of counts the need to test for the presence of a dependence structure arises regularly. Suitable tests for this purpose are analysed in this paper. Their size and power properties are evaluated under various alternatives among which the...

In analysing time series of counts, the need to test for the presence of a dependence structure routinely arises. Suitable tests for this purpose are considered in this paper. Their size and power properties are evaluated under various alternatives taken from the class of INARMA processes. We...