Geometrical understanding of the Cauchy distribution
Advanced calculus is necessary to prove rigorously the main properties of the Cauchy distribution. It is well known that the Cauchy distribution can be generated by a tangent transformation of the uniform distribution. By interpreting this transformation on a circle, it is possible to present elemen...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2002 |
| 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:2099/4167 |
| Acceso en línea: | https://hdl.handle.net/2099/4167 |
| Access Level: | acceso abierto |
| Palabra clave: | Distribution (Probability theory) Cauchy distribution Dsitribution on a cirlce Central limit theorem Distribució (Teoria de la probabilitat) Classificació AMS::60 Probability theory and stochastic processes::60E Distribution theory |
| Sumario: | Advanced calculus is necessary to prove rigorously the main properties of the Cauchy distribution. It is well known that the Cauchy distribution can be generated by a tangent transformation of the uniform distribution. By interpreting this transformation on a circle, it is possible to present elementary and intuitive proofs of some important and useful properties of the distribution. |
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