二项分布参数整体推断方法

 针对工程中常见的二态数据,提出了二项分布参数整体推断方法,该方法可以很好地确定二项分布参数与状态变量之间的数学关系式,给出了整体推断的点估计和置信限、置信区间估计公式。它能够将不同状态下的二态数据作为一个整体来进行统计推断,全面开发利用了不同状态下二态数据之间相互提供的横向信息,从而使其可利用的信息量远远大于只能分别在各自状态下对二态数据进行统计分析的传统方法。所以,在精度相同的情况下,可以节省大量试样;而在试样数一定的条件下,又能提高预测精度。最后给出了应用实例。

INTEGRAL INFERENCE METHOD FOR THE BINOMIAL DISTRIBUTION PARAMETER

An integral inference method is presented for the determination of the function relation between the binomial distribution parameter and state variables. As the crosswise information among the failure\|and\|success data under different states is exploited and used, the number of specimens for determining the binomial distribution parameters under different states by this method is equivalent to that of specimens under one state by the traditional method in the case of the same precision. Based on the function relation, the one\|sided confidence limits and two\|sided confidence intervals of the binomial distribution parameters under different states can be calculated. This method have been used in the reliability tests of aircraft and missile successfully. It shows that a great number of specimens have been saved.