On left-truncating and mixing poisson distributions
The distributions obtained by left-truncating at k a mixed Poisson distribution, kT-MP, and those obtained by mixing previously left-truncated Poisson distributions, M-kTP, are characterized by means of their probability generating function. The main consequence is that every kT-MP distribution is a...
| Autores: | , , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2014 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/22548 |
| Acceso en línea: | https://hdl.handle.net/2117/22548 https://dx.doi.org/10.1080/03610926.2013.863932 |
| Access Level: | acceso abierto |
| Palabra clave: | Poisson distribution Theory of distributions (Functional analysis) Poisson-stopped-sum distribution Count variable: Left-truncated distribution Mixed distribution Model characterization Probability generating function Distribució (Teoria de la probabilitat) Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica |
| Sumario: | The distributions obtained by left-truncating at k a mixed Poisson distribution, kT-MP, and those obtained by mixing previously left-truncated Poisson distributions, M-kTP, are characterized by means of their probability generating function. The main consequence is that every kT-MP distribution is a M-kTP distribution, but not the other way around. |
|---|