概率为0或1的事件的一个定理  

A Theorem on an Event with Probability 0 or 1 SONG Fu-gao

作　　者：宋富高[1] 

机构地区：[1]深圳大学理学院,深圳518060

出　　处：《深圳大学学报（理工版）》2000年第2期21-22,共2页Journal of Shenzhen University(Science and Engineering)

基　　金：深圳大学科研基金资助项目! (2 0 0 0 4 0 )

摘　　要：针对部分学者对作者《概率论中的确定误差限》一文中定理 7的证明较弱的意见 ,补充证明了在有限多次Bernoulli试验中 ,概率为零的事件一定不出现 ,概率为 1的事件一定在每次试验中出现Contraposing some scholars' opinion that in author's paper“The deterministic error limit in probability theory”,the proof of Theorem 5(in abstract),which relate to the final confirmation of error limit in theorems of the Goldbach conjecture and others,was weak,the proof is increased.Conclusions show that in arbitrary limited times of Bernoulli trials,the event with probability zero never occurs,and the event with probability 1 must occur in every trial.If this were not true,the theory will be bogged down:a series of abnormal interlocking outcome of trials must occur in succession,in which the events with forecasting probability 1 never occur,and all occurring events are the events with forecasting probability zero,and the variance can no more measure the dispersion of the random variable about its expectation.Thus the error limit in theorems of the Goldbach conjecture and others is finally confirmed.

关 键 词：GOLDBACH猜想 反常试验结果 方差困境 概率困境 累积等待概率 概率论 

分 类 号：O211.1[理学—概率论与数理统计] O156.4[理学—数学]