查询词典 confidence interval

Finishing calculation of mean value, standard deviation, skewness, kurtosis of Beta distribution.(2) Fitting parameters of many kinds of typical distribution and using residual deviation to evaluate fitting precision.(3) Using Beta distribution as an agreed indication distribution applied to many kinds of practical photoelectric measurement distributions.(4) Deriving theory formula of Bayes point estimation about Beta distribution parameters and mean value and standard deviation on the condition of mean square error loss function and supposed the prior distribution is uniform distribution.(5) Generating MCMC sample from post distribution by the method of Gibbs sample algorithm. Calculating bayes point estimation from sample on the condition of mean square error loss function. Calculating confidence interval by an approximate method to complete interval estimation.

本文的主要工作有：(1)解决了Beta分布参数a和b的精确计算以及均值、标准差、偏度、峰度的计算问题；(2)拟合出10余种典型分布的Beta分布的两个参数，并且采用剩余标准差评价该Beta分布的拟合精度；(3)对多种典型的光学与光电测量系统的测量分布进行了Beta分布统示表示；(4)在假设先验分布为均匀分布前提下，得到参数a和b以及均值μ和标准差σ在均方误差损失函数下的贝叶斯点估计理论计算公式；(5)利用直接抽样的Gibbs抽样算法，从后验分布中产生MCMC样本，从样本直接计算均方误差损失函数下的贝叶斯点估计，并使用一种近似方法计算其置信区间，完成区间估计。

Meanwhile, it could be seen that there does not exist a confidence interval with width less than 0.5 because of the property of Poisson distribution. Based on these conditions, the author mainly carried out research into two aspects of this problem as follows. 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 asare 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，大量数据表明，本文考虑的方法性态良好，具有应用价值。

According to the LC-P line of each of insecticide in the mixture and the formula of co-toxicity factor, several expected mortality and the region of additive action (expected mortality±20% expected mortality) were calculated, and according to observed mortality of mixture, the 95% confidence interval was calculated, LC-P line of expected mortality with the region of additive action and LC-P line of observed mortality with the 95% confidence interval were drawn, it was found that there was overlap between the region of additive action and 95% confidence interval and two lines crossed each other when co-toxicity coefficient was more than 100 and the co-toxicity factor was less than 20, which meant there was no significant differences between expected mortality and observed mortality, and that there was on or a few overlap between the region of additive action and 95% confidence interval when co-toxicity coefficient was more than 100 and the co-toxicity factor was more than 20 or co-toxicity coefficient was less than 100 and the co-toxicity factor was less than 20, which meant there was significant differences between expected mortality and observed mortality.

根据单剂的LC-P线和共毒因子公式，求出混剂的期望死亡率和"相加作用区间"（期望死亡率±20%期望死亡率），根据混剂的实测死亡率求出95%置信区间，画出期望LC-P线及"相加作用区间"和实测LC-P线及"95%置信区间"，发现当共毒系数大于100、共毒因子小于20时，实测LC-P线和期望LC-P线彼此交缠，期望LC-P线的"相加作用区间"和实测LC-P线的"95%置信区间"能高度重叠，表明两条LC-P线之间没有毒力差异；当共毒系数大于100、共毒因子大于20，或者共毒系数小于100、共毒因子小于-20时，实测LC-P线的"95%置信区间"和期望LC-P线的"相加作用区间"只有少量重叠或完全不重叠，体现出了实测LC-P线和期望LC-P线对供试害虫的毒力差异。

In statistics, a confidence interval is an interval estimate of a population parameter.

在统计学里，置信区间指的是对于某一群体参数的区间估计。

The confidence interval method and the confidence region method for the error analysis of extracted parameters are studied. The algorithm implementation of confidence analysis based on the AD technique and OOP technique is presented, which can distinguish the redundancy and the correlation of extracted parameters.

研究了模型参数误差分析的置信区间法和置信区域法，提出了置信分析在AD技术及面向对象设计基础上的算法实现，可以很好地实现了对模型参数的冗余或相关的识别。

First of all, we introduce some interval methods and propose a new approach to find confidence interval for the slope in homoscedastic measurement error models. The performance of the interval estimation is compared in terms of both coverage probability and its diameter via simulation studies. Second, we suggest two approaches to estimate confidence intervals for the slope and joint confidence regions for both intercept and slope in heteroscedastic measurement error models. Application of these methods are illustrated with real data sets.

首先，当测量误差的变异是同质性时，我们对斜率项参数建构信赖区间，除了回顾已发表的方法外，也提出一个新的方法，建议的区间方法分别和已存在的方法做模拟比较，比较的标准建构在覆盖机率和平均长度上；另外，当测量误差的变异是异质性时，我们不仅对斜率项参数建构信赖区间提出新的方法，也对截距项参数和斜率项参数建构联合信赖区间。

Compute predicted bias and its confidence interval at each given medical decision level. Compare the confidence interval of predicted bias with the definition of acceptable error at the medical decision point and evaluate the two instruments equivalent or not.

计算两台仪器结果的相关系数；作线性回归、求回归方程；计算各给定的医学决定水平上的预期偏差和预期偏差的95%可信限，与可接受误差进行比较，判断两仪器是否具有一致性。

Environmental test and life test were applied to the sensor, and the environmental confidence level and the one－ sided confidence lower limit of MTBF were estimated with the fiducial method, confidence interval method and Bayes method.

首先对这种传感器实施了环境试验与寿命试验，并用经典法、信赖法和贝叶斯法估计了环境可靠度及MTBF的单侧置信下限。

For a given proportion p (where p is the confidence level), a confidence interval for a population parameter is an interval that is calculated from a random sample of an underlying population such that, if the sampling was repeated numerous times and the confidence interval recalculated from each sample according to the same method, a proportion p of the confidence intervals would contain the population parameter in question.

对于一个比例 P而言，一个群体参数的置信区间中的区间是由一个基础群体的随意样本计算出的，假如样本被重复了无数次，置信区间也根据每个样本，以同样的方法重新计算，那么这个置信区间中的比例 P 将要重新定论。

Assume β=1, and confidence level is 0.95, the length of normal confidence interval is compared to the length of shortest confidence interval, the results show: both absolute difference d and relative difference e are decreased by the increasing sample number n, when n≤9, e≥10%.

在假设参数β=1，置信水平为0.95的条件下，比较了常用置信区间与最短置信区间的长度，结果表明：两者长度的绝对差d和相对差e均随样本容量n的增大而减小，当n≤9时，e≥10%。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。