关于“上限为三法则”(Rule of Three)的形成条件

Preconditions About Rule of Three

"上限为三法则"(RuleofThree)在实验数据统计等带有抽样调查性质的研究上有相当广泛的应用。但是真正了解其由来,及其理论推导的研究工作并不多。人们一般把它当作是一种习惯、一种通则。文中就这一法则分别使用二项分布、普阿松分布、Louis法和贝氏法四种不同的方法进行推导,并通过实际的数值结果对该法则进行验证比较,得到该法则的四个形成条件结论。

In those researches of sample test, especially in the works of experimental data counting and statistics, Rule of Three has been applied widely. But few people understand its origin really , and there are little research work have been down on the theory's reasoning. It has be regard as a general rule. Four different ways. Binomial distribution, Poisson distribution, Louis distribution and Bayesian approach are used,Which are. Then the rule is verified and companed through real investigation data, and four tenable conditions of the rule are given.