频率型联系概率与随机事件转化定理  

Frequency-type contact probability and random events transformation theorem

作　　者：赵森烽[1] 赵克勤[2,3] 

机构地区：[1]浙江工业大学之江学院理学系,浙江杭州310024 [2]诸暨市联系数学研究所,浙江诸暨311811 [3]浙江大学非传统安全与和平发展研究中心,浙江杭州310058

出　　处：《智能系统学报》2014年第1期53-59,共7页CAAI Transactions on Intelligent Systems

基　　金：国家社会科学基金重点资助项目(08ASH006);教育部哲学社会科学研究重大课题攻关项目(08JZD0021-D)

摘　　要：为进一步研究联系概率与概率的关系,借助一种新的"掷硬币"和"掷骰子"随机试验,导出频率型概率的联系概率。在此基础上给出随机事件的"转化定理"与"大概率原理",并讨论其与"小概率原理"的关系。以"掷骰子"为例给出同异反联系概率和多元联系概率的定义,说明频率型联系概率与古典概型、几何概型的联系概率具有同样的数学形式和性质,实例表明联系概率客观地反映了随机试验结果。In order to further research the relation between contact probability and probability , with the aid of a new random test of “tossing a coin” and “rolling the dice”, the frequency-type contact probability is derived , and on this basis , the transformation theorem of random events and the “big probability principle” are proposed and its re-lation with the “small probability principle” is discussed .Taking the game of “rolling the dice” as an example , the definitions of the same-indefinite-contrary connection probability and the multiple contact probability are given , showing that the frequency type contact probability has the same mathematical form and nature with the classical type and geometrical type contact probability .The examples show the contact probability reflects the result of the random test objectively .

关 键 词：随机试验 频率型概率 联系概率 转化定理 小概率原理 大概率原理 同异反概率 多元联系概率 

分 类 号：O212.6[理学—概率论与数理统计]