@article{Ferreri_2000, title={A reconsideration of the Pólya-Aeppli model}, volume={60}, url={https://rivista-statistica.unibo.it/article/view/1116}, DOI={10.6092/issn.1973-2201/1116}, abstractNote={A reconsideration of the Pólya-Aeppli distribution, usually denoted by PAD, is made with the intent of focusing its role as a model for count data analysis. To this aim, an infinite matrix of numbers based on simple recurrence formulas is given for computing the probabilities without difficulty. Hence , it is pointed out how the parameterisation used facilitates also the ML- estimation. Then, an extension of usual parametric space allowing the PAD to be regarded as both an under- and over – dispersion model is considered. Examples are given for elucidating the utility of PAD also in comparison with models used to analyse overdispersion in a broader sense.}, number={1}, journal={Statistica}, author={Ferreri, Carlo}, year={2000}, month={Jan.}, pages={15–24} }