概率论中事件独立性的几个命题  

Propositions about the independency of events in probability theory

作　　者：杨芝艳[1] 

机构地区：[1]南京工程学院数理部,江苏南京211167

出　　处：《佳木斯职业学院学报》2015年第4期277-278,共2页Journal of Jiamusi Vocational Institute

摘　　要：为了充分应用概率论中事件独立性概念及相关性质,简化实际解题过程,文章采用随机变量的有关独立性性质,构造指示变量研究了事件的独立性,得到事件独立性的几个命题,并给予了数学证明,完善了教材中的独立性理论,方便了实际问题的解决。最后通过举例阐述了概率计算中事件独立性的重要性。In order to use the independency and properties of events in probability theory efficiently, this article used properties of the independent random variables to study it by constructing indicator variables. We got some propositions about the independent events, and also proved it. From this, it perfected the independency theories of textbooks and provided a convenience to solve the practical problems. Finally, this essay introduced the importance of the independency of events in probability calculation through choosing an example.

关 键 词：事件独立性 指示变量 随机变量 可靠性 

分 类 号：O211[理学—概率论与数理统计]