In his theory of probability jeffreys has something new to say about induction 杰弗里斯在其概论中，对于归纳法有某种新的见解。
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Firstly , by numerical and theoretical analysis , the author compares some existent confidence intervals , for example , " exact " confidence interval , wald confidence interval and bayesian confidence interval , and finds some deficiencies points of the confidence intervals , whose modification version has been proposed . also , several better confidence intervals such as are also presented . secondly , for given confidence coefficient and interval width , the author constructs a class of asymptotical two - stage interval estimate procedures . at the same time , under varies restriction of confidence coefflcientent interval width , the optional sample size of the first stage has been computed by numerical computation . the numerical computation shows that the method considered in this dissertation have good properties and applied value 同时，由于poisson分布的特性，我们知道不存在其参数区间长度小于0 . 5的置信区间，基于这些情况，我们主要展开了以下两个方面的研究：一是利用数值计算分析与理论分析的方法对现有的若干置信区间如“精确”置信区间， wald置信区间， bayes置信区间等进行分析比较，发现了一些缺陷，针对这些缺陷，我们进行适当的修正，并得到几种性质较好的置信区间如：修正大样本区间jeffreys原则下置信区间二是针对已给定的置信系数与区间长度，我们提出了一种渐近的两阶段区间估计程序，并利用数值计算的方法，在各种置信系数与区间长度限定下，算出了最优的第一阶段观测次数(抽样量) ，大量数据表明，本文考虑的方法性态良好，具有应用价值。
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