Random selection of Borel sets

[EN] A theory of random Borel sets is presented, based on dyadic resolutions of compact metric spaces. The conditional expectation of the intersection of two independent random Borel sets is investigated. An example based on an embedding of Sierpinski’s universal curve into the space of Borel sets i...

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Detalles Bibliográficos
Autor: Günther, Bernd
Tipo de recurso: artículo
Fecha de publicación:2010
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/86846
Acceso en línea:https://riunet.upv.es/handle/10251/86846
Access Level:acceso abierto
Palabra clave:Random Borel sets
Dyadic spaces
Sierpinski’s universal curve
Descripción
Sumario:[EN] A theory of random Borel sets is presented, based on dyadic resolutions of compact metric spaces. The conditional expectation of the intersection of two independent random Borel sets is investigated. An example based on an embedding of Sierpinski’s universal curve into the space of Borel sets is given.