Testing for the zero-altered Poisson distribution with positive data
This article proposes three new goodness-of-fit tests for the zero-altered Poisson distribution, or equivalently for the positive Poisson distribution, based on positive data, that is, data truncated at 0, whose test statistic is built using a characterization of this law. It is shown that the propo...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2072/489096 |
| Acceso en línea: | http://hdl.handle.net/2072/489096 |
| Access Level: | acceso abierto |
| Palabra clave: | Empirical probability generating function goodness-of-fit tests parametric bootstrap positive Poisson zero-truncated Poisson 51 |
| Sumario: | This article proposes three new goodness-of-fit tests for the zero-altered Poisson distribution, or equivalently for the positive Poisson distribution, based on positive data, that is, data truncated at 0, whose test statistic is built using a characterization of this law. It is shown that the proposed tests are consistent against any fixed alternative and that the parametric bootstrap method can accurately approximate their null distributions. The power of these tests is investigated through a large simulation study, where it is also compared with some existing tests, showing a very competitive behavior. Several applications to real datasets illustrate the usefulness of the tests. |
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