This article considers goodness-of-fit tests for bivariate INAR and bivariate Poisson autoregression models. The test statistics are based on an L2-type distance between two estimators of the probability generating function of the observations: one being entirely nonparametric and the second one...

This paper analyses issues related to weak exogeneity in a financial point process. We extend the Hausman test of weak exogeneity in a time series model and propose three cases in which weak exogeneity conditions will break down. The simulation study suggested that a failure of the exogeneity...