Partition entropy and chi-squared error: the improved MEMPHIS algorithm - Part I
The entropy of the population partition is studied as a function of the sampling parameter, so that within a particular interval of its graph, the plateau region, it is possible to get a stable estimation of the mixture parameters. The optimal estimation is associated with a local maximum of entropy...
| Autores: | , |
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| Tipo de recurso: | informe técnico |
| Fecha de publicación: | 2009 |
| 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:2117/6775 |
| Acceso en línea: | https://hdl.handle.net/2117/6775 |
| Access Level: | acceso abierto |
| Palabra clave: | Astronomy and astrophysics Probabilities Stochastic processes Mathematical statistics Astronomia Astrofísica Probabilitats Processos estocàstics Estadística matemàtica 85 ASTRONOMY AND ASTROPHYSICS 60 PROBABILITY THEORY AND STOCHASTIC PROCESSES 62 STATISTICS Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica::Mètodes estadístics |
| Sumario: | The entropy of the population partition is studied as a function of the sampling parameter, so that within a particular interval of its graph, the plateau region, it is possible to get a stable estimation of the mixture parameters. The optimal estimation is associated with a local maximum of entropy. Alter natively, the $\chi^2$ error of the mixture approach may also be used to obtain an optimal segregation. The relationship between the fitting error and the population entropy has been analysed in detail. We have proved that, by using an appropriate sampling parameter, within a plateau region of the entropy graph, a local entropy maximum takes place simultaneously with a local minimum of the $\chi^2$ error. Therefore, the combined statistical method provides the best approximation mixture, as well as the less informative partiti on, to estimate the kinematic parameters of populations. |
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