| 获得参数最短置信区间长度的条件 |
| |
| 引用本文： | 陈秋华,王冬琳.获得参数最短置信区间长度的条件[J].数学学习,2010,13(4):21-23. |
| |
| 作者姓名： | 陈秋华 王冬琳 |
| |
| 作者单位： | [1]华北电力大学数理系,北京102206 [2]北京电子科技职业学院,北京100029 |
| |
| 摘 要： | 寻找统计分布中参数的最短置信区间长度往往不容易,一些文献往往讨论具体分布中参数的最短置信区间长度.本文从常用枢轴变量的形式即参数的线性函数形式和反比例函数形式出发,可以获得得到参数最短置信区间长度的两个条件,并且枢轴变量的密度函数满足一定条件时,最短置信区间长度是存在且唯一的,结论具有一般性.
|
| 关 键 词： | 枢轴变量 线性函数 最短置信区间长度 |
Conditions for Obtaining the Confidence Interval with the Shortest Length |
| |
| CHEN Qiu Hua,WANG Dong Lin.Conditions for Obtaining the Confidence Interval with the Shortest Length[J].Studies In College Mathematics,2010,13(4):21-23. |
| |
| Authors: | CHEN Qiu Hua WANG Dong Lin |
| |
| Institution: | 1. Mathematical ＆ Physical School, North China Electric Power University, Beijing ,102206, PRC; 2. Beijing Vocational College of Electronic Science, Beijing, 100029, PRC) |
| |
| Abstract: | The shortest confidence interval only for specific distributional parameters was ever discussed, but now, the conditions for obtaining the shortest confidence interval are given based on two usual pivot variables, that is, linear function and inverse proportional function of parameter. The confidence interval with the shortest length exists and is Unique when the density of pivot variables satisfies these conditions. |
| |
| Keywords: | pivot linear function the shortest length of confidence Interval |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
