摘要
基于条件期望和随机事件A的示性函数IA,推导了离散型和连续型随机变量的全概率公式 ,要解决诸如离散型和连续型等一类随机问题时 ,若采用传统的全概率公式来解 ,势必带来很大的困难。但是 ,运用本文所研究的全概率公式 ,结果令人满意 ,具有较强的实用性 ,从而拓展了全概率公式的应用范围和解题思路 ,值得推广应用 。
This paper deduces the full probability formula for discrete random variable and continuous random variable based on the conditional expectation and function I_A of indication attribute of random event A. It is difficult for solving the like random problems of discrete and continuous by means of the full probability formula in reference document. But we adopt the full probability formula of this paper and the result is satisfactory and practical. The formula can broaden the range of the formula's application and its thinking of solving a problem, the same time the formula also plays an important role in the reliability theory, so it is worth to be speeded and applied.
出处
《东华理工学院学报》
2004年第2期193-195,共3页
Journal of East China Institute of Technology
基金
东华理工学院重点课程建设"概率论与数理统计"资助项目
关键词
条件期望
全概率公式
随机问题
示性函数
conditional expectation
function of indication attribute
full probability formula
random problem
