Some remarks on the individuals-score distance and its applications to statistical inference
This paper is concerned with the study of some properties of the distance between statistical individuals based on representations on the dual tangent space of a parametric manifold representation of a statistical model. Explicit expressions for distances are obtained for well-known families of dist...
| Autores: | , |
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| Tipo de documento: | artigo |
| Data de publicação: | 1992 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositório: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglês |
| OAI Identifier: | oai:upcommons.upc.edu:2099/4029 |
| Acesso em linha: | https://hdl.handle.net/2099/4029 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Statistics Inference Informative geometry Statistical individuals Distances between individuals Statistical inference Estadística Inferència Classificació AMS::62 Statistics::62A01 Foundational and philosophical topics Classificació AMS::62 Statistics::62F Parametric inference |
| Resumo: | This paper is concerned with the study of some properties of the distance between statistical individuals based on representations on the dual tangent space of a parametric manifold representation of a statistical model. Explicit expressions for distances are obtained for well-known families of distributions. We have also considered applications of the distance to parameter estimation, testing statistical hypotheses and discriminant analysis. |
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