随机事件条件独立性
Conditional Independence of Random Events
摘要:
介绍了随机事件条件独立的概念和性质,结合例子讨论了随机事件独立性和条件独立性的关系,说明随机事件独立性和条件独立性互不蕴含。最后,讨论了条件独立的判定定理。
Abstract:
The concept and properties of condition independence of random events are introduced. The rela-tionship between independence of random events and conditional independence is discussed with examples, which shows that independence of random events and conditional independence do not imply each other. Finally, the determining theorems of conditional independence are provided.
参考文献
|
[1]
|
Bertsekas, D.P. and Tsitsiklis, J.N. (2002) Introduction to Probability. Athena Scientific, Nashua, NH.
|
|
[2]
|
盛骤, 谢式千, 潘承毅. 概率论与数理统计[M]. 北京: 高等教育出版社, 2008.
|
|
[3]
|
陈希孺. 概率论与数理统计[M]. 合肥: 中国科学技术大学出版社, 2009.
|
|
[4]
|
王梓坤. 概率论基础及其应用[M]. 北京: 北京师范大学出版社, 2007.
|
|
[5]
|
周志华. 机器学习[M]. 北京: 清华大学出版社, 2016 .
|