Article (Journal/Review)
Information and sigma-algebras
Fecha
2013-10Registro en:
0011-5258 / 1678-4588
10.1007/s00199-012-0723-1
000324779500008
Herves-Beloso, Carlos/0000-0002-4849-4033
Herves-Beloso, Carlos/H-8410-2015
Autor
Herves-Beloso, Carlos
Monteiro, P. K.
Institución
Resumen
In this work, we clarify the relationship between the information that an agent receives from a signal, from an experiment or from his own ability to determine the true state of nature that occurs and the information that an agent receives from a -algebra. We show that, for countably generated -algebras, the larger it is, the larger the information is. The same is true for general -algebras after the removal of a negligible set of states.