The Tukey and the random Tukey depths characterize discrete distributions

Through this paper it is shown that if the Tukey depths of two probabilities, P and Q, coincide and one of those distributions is discrete, then P = Q. The same is proved if the random Tukey depths coincide.

Detalhes bibliográficos
Autores: Cuesta Albertos, Juan Antonio|||0000-0001-8228-5924, Nieto Reyes, Alicia|||0000-0002-0268-3322
Formato: artículo
Fecha de publicación:2008
País:España
Recursos:Universidad de Cantabria (UC)
Repositorio:UCrea Repositorio Abierto de la Universidad de Cantabria
Idioma:inglés
OAI Identifier:oai:repositorio.unican.es:10902/38519
Acesso em linha:https://hdl.handle.net/10902/38519
Access Level:acceso abierto
Descrição
Resumo:Through this paper it is shown that if the Tukey depths of two probabilities, P and Q, coincide and one of those distributions is discrete, then P = Q. The same is proved if the random Tukey depths coincide.