On the Joint Distribution of Observables

被引:0
|
作者
Beloslav Riečan
机构
[1] Matej Bel University,Department of Mathematics, Faculty of Natural Sciences
[2] Slovak Academy of Sciences,Mathematical Institute
来源
Foundations of Physics | 2000年 / 30卷
关键词
Conditional Probability; Measurable Function; Joint Distribution; Binary Operation; Algebraic System;
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中图分类号
学科分类号
摘要
A general algebraic system M is considered with two binary operations. The family of all measurable functions with values in the unit interval is a motivating example. A state is a morphism from M to the unit interval, an observable is a morphism from the family of Borel sets to M. A joint distribution of two observables is constructed. It is applied for the construction of the sum of observables and for a representation of conditional probability.
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页码:1679 / 1686
页数:7
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