# 加载中...

• 博客等级：
• 博客积分：0
• 博客访问：248,452
• 关注人气：124
• 获赠金笔：0支
• 赠出金笔：0支
• 荣誉徽章：

## 基础知识：置信椭圆confidence ellipse

(2011-07-26 08:24:16)

### 杂谈

按照我的简要理解，置信椭圆基本上是对置信区域的描述方式，其长轴和短轴分别为置信区域的参数，置信椭圆的长短半轴，分别表示二维位置坐标分量的标准差（如经度的σλ和纬度的σφ）。一倍标准差（1σ）的概率值是68.3%，二倍标准差（2σ）的概率值为95.5%；三倍标准差（3σ）的概率值是99.7%。

置信区域的概念如下：

In statistics, a confidence region is a multi-dimensional generalization of a confidence interval. It is a set of points in an n-dimensional space, often represented as an ellipsoid around a point which is an estimated solution to a problem, although other shapes can occur.

The confidence region is calculated in such a way that if a set of measurements were repeated many times and a confidence region calculated in the same way on each set of measurements, then a certain percentage of the time, on average, (e.g. 95%) the confidence region would include the point representing the "true" values of the set of variables being estimated. However, it does not mean, when one confidence region has been calculated, that there is a 95% probability that the "true" values lie inside the region, since we do not assume any particular probability distribution of the "true" values and we may or may not have other information about where they are likely to lie.

0

• 评论加载中，请稍候...

发评论

以上网友发言只代表其个人观点，不代表新浪网的观点或立场。

新浪BLOG意见反馈留言板　电话：4000520066 提示音后按1键（按当地市话标准计费）　欢迎批评指正

新浪公司 版权所有