MATLAB: Gaussian Distribution

distributiongaussian

Hi All, I am trying to plot a amplitude Gaussian distribution in Matlab. I have only amplitude peak, mean and sigma (sd) values. The peak is corresponding to the mean. How to get a Gaussian normal plot using only that three values? What could be the code for that?

Best Answer

This is really just plotting an equation, for practical purpose, you can plot from -4*sd to 4*sd. Let's say mu is the mean,

x = linspace(-4*sd,4*sd,1000);
y = 1/(2*pi*sd)*exp(-(x-mu).^2/(2*sd^2));
plot(x,y);

Related Solutions

MATLAB: Probability Density function plot

That very much depends on the PDF. For some distributions, the mean itself is necessary and sufficient (like the exponential), for others the mean and standard deviation are necessary and sufficient (the Gaussian), and for still others the distribution is not parametrized by the mean and std. If this is Gaussian, then I'll assume mu is the mean and sigma the standard deviation.

   mu = 10; sigma = 1.5;
   x = mu-(4*sigma):0.01:mu+(4*sigma);
   y = normpdf(x,mu,sigma);
   plot(x,y)

So basically you really need to know which PDF you have the first moment (mean) and second central moment (variance) of.

MATLAB: How to plot a Gaussian of mixture to a data

I got it

 numComponents=4;
paramEsts= gmdistribution.fit(Life,numComponents)  
MU=[paramEsts.mu(1);paramEsts.mu(2);paramEsts.mu(3);paramEsts.mu(4)];
SIGMA=cat(3,[paramEsts.Sigma(1)],[paramEsts.Sigma(2)],[paramEsts.Sigma(3)],[paramEsts.Sigma(4)]);
PPp=[paramEsts.PComponents(1),paramEsts.PComponents(2),paramEsts.PComponents(3),paramEsts.PComponents(4)];
objA = gmdistribution(MU,SIGMA,PPp);
xgridss=transpose(linspace(0,173,100)); 
plot(xgridss,pdf(objA,xgridss),'r-','linewidth',2)

That work.

Best Answer

Related Solutions

MATLAB: Probability Density function plot

MATLAB: How to plot a Gaussian of mixture to a data

Related Question