shortest confidence interval
- shortest confidence interval的基本解释
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最短置信区间
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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。
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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。
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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。
- 更多网络解释 与shortest confidence interval相关的网络解释 [注:此内容来源于网络,仅供参考]
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shortest confidence interval:最短置信区间
shortest 最短线 | shortest confidence interval 最短置信区间 | shortest distance 最短距离
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shortest confidence interval:最短信赖区间
简捷算法 short-cut method | 最短信赖区间 shortest confidence interval | 最短距离 shortest distance
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asymptotic shortest confidence interval:渐近最短置信区间
asymptotic representation 渐近表示 | asymptotic shortest confidence interval 渐近最短置信区间 | asymptotic solution 渐近解
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asymptotically shortest unbiased confidence interval:渐近最短不偏信赖区间
渐近最强力检定 asymptotically most powerful test | 渐近最短不偏信赖区间 asymptotically shortest unbiased confidence interval | 渐近平稳的 asymptotically stationary