@article{uoadl:3485870, volume = "33", number = "4", pages = "1014 – 1040", journal = "Software Test & Quality Assurance", BIBTEX_ENTRY = "article", year = "2024", author = "Hudecová, Šárka and Hušková, Marie and Meintanis, Simos G.", abstract = "We propose a goodness-of-fit test for a class of count time series models with covariates which includes the Poisson autoregressive model with covariates (PARX) as a special case. The test criteria are derived from a specific characterization for the conditional probability generating function, and the test statistic is formulated as a L2 weighting norm of the corresponding sample counterpart. The asymptotic properties of the proposed test statistic are provided under the null hypothesis as well as under specific alternatives. A bootstrap version of the test is explored in a Monte–Carlo study and illustrated on a real data set on road safety. © The Author(s) 2024.", title = "Specifications tests for count time series models with covariates", doi = "10.1007/S11749-024-00933-X" }