matlab中normfit的使用

最近在写论文的过程中，利用RFV(随机模糊变量)表示传感器的不确定性,需要求一组数据均值和标准差,在matlab中找到了normfit函数,具体的使用的方法以及语法如下.

normfit:

Normal parameter estimates

normfit函数的语法：

[muHat,sigmaHat] = normfit(x)

x:输入的数据
muHat:表示正态分布中均值μ的估计值;
sigmaHat:表示正态分布中标准偏差σ的估计值;

[muhat,sigmahat,muci,sigmaci] = normfit(x) 

各个参数的具体含义如下：
x:输入的数据
muhat:表示正态分布中均值μ的估计值;
sigmahat:表示正态分布中标准偏差σ的估计值;
muci:为置信区间;
sigmaci:为置信区间对应的置信度.

[muHat,sigmaHat,muCI,sigmaCI] = normfit(x,alpha) 

[muHat,sigmaHat,muCI,sigmaCI] = normfit(x,alpha) specifies the confidence level for the confidence intervals to be 100(1–alpha)%.via 官方文档

alpha:指定置信度(1-alpha)的置信区间

下面举一个例子(官方文档中的例子):

rng('default') % For reproducibility
x = normrnd(3,5,[1000,1]);
% Find the parameter estimates and the 99% confidence intervals.
[muHat,sigmaHat,muCI,sigmaCI] = normfit(x,0.01)

输出的结果:

muHat = 2.8368
sigmaHat = 4.9948
muCI = 2×1

    2.4292
    3.2445

sigmaCI = 2×1

    4.7218
    5.2989

muHat is the sample mean, and sigmaHat is the square root of the unbiased estimator of the variance. muCI and sigmaCI are the 99% confidence intervals of the mean and standard deviation parameters. The first row is the lower bound, and the second row is the upper bound.