Separate Gaussian mixture distributions of 5 components.

I used this code (to fit data by gaussian mixture):

 binWidth = 1;          %width of the bar equal 1
binCtrs = 0:binWidth:134; % the bars start from 0 to 172. d=729 w=104 93 m=24
figure
counts = hist(Life,binCtrs,'k');  % b k m %hold on;    plot(n,count,'ro')
stem(binCtrs,counts,'Marker','none','Color',[0.2 0.2 0.2]);
counts = hist(Life,binCtrs);
nu = length(Life);
prob = counts / (nu * binWidth);
figure
stem(binCtrs,prob,'Marker','none','Color',[0.5 0.5 0.5]);hold on ; % axis([-5 144  0 0.018]);
%%finding the number of components
%using minimum value of AIC
AIC = zeros(1,7);
obj = cell(1,7);
 for Kk = 1:7
      obj{Kk} = gmdistribution.fit(Life,Kk);
      AIC(Kk)= obj{Kk}.AIC;
  end
[minAIC,numComponents] = min(AIC);
numComponents  %differ 5=4 7=6 11=5
%%finding the parameters of Mixture of gaussian using (gmdisribution.fit)
numComponents=4;
paramEsts= gmdistribution.fit(Life,numComponents)  
%mu of mixture of gaussians of 4 components
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)]);%I wrote it at this 
PPp=[paramEsts.PComponents(1),paramEsts.PComponents(2),paramEsts.PComponents(3),paramEsts.PComponents(4)];
objA = gmdistribution(MU,SIGMA,PPp);
xgridss=transpose(linspace(0,134,100)); %using the parameters to draw a line from 0 to 173 
plot(xgridss,pdf(objA,xgridss),'g--','linewidth',2); hold on

I want to separate each gaussian component (I use this code):

 numComponents5=4;
paramEsts5= gmdistribution.fit(Life,numComponents5) 
MU1=[paramEsts5.mu(1)];
SIGMA1=cat(3,[paramEsts5.Sigma(1)]);
PPp1=[paramEsts5.PComponents(1)];
objA1 = gmdistribution(MU1,SIGMA1,PPp1);
xgridss1=transpose(linspace(0,134,100));
MU2=[paramEsts5.mu(2)];
SIGMA2=cat(3,[paramEsts5.Sigma(2)]);
PPp2=[paramEsts5.PComponents(2)];
objA2 = gmdistribution(MU2,SIGMA2,PPp2);
xgridss2=transpose(linspace(0,134,100));
MU3=[paramEsts5.mu(3)];
SIGMA3=cat(3,[paramEsts5.Sigma(3)]);
PPp3=[paramEsts5.PComponents(3)];
objA3 = gmdistribution(MU3,SIGMA3,PPp3);
xgridss3=transpose(linspace(0,134,100));
MU4=[paramEsts5.mu(4)];
SIGMA4=cat(3,[paramEsts5.Sigma(4)]);
PPp4=[paramEsts5.PComponents(4)];
objA4 = gmdistribution(MU4,SIGMA4,PPp4);
xgridss4=transpose(linspace(0,134,100));
% figure
plot(xgridss1,pdf(objA1,xgridss1),'r-','linewidth',2) ; hold on
plot(xgridss2,pdf(objA2,xgridss2),'r-','linewidth',2) ; hold on
plot(xgridss3,pdf(objA3,xgridss3),'r-','linewidth',2) ; hold on
plot(xgridss4,pdf(objA4,xgridss4),'r-','linewidth',2) ; hold on

but the value of each gaussian not the same How I could adjust the code to plot seprate individual components?

[Amr Hashem]

I hope my question is clear, I want to separate each component

Answer 1

[the cyclist]

Do you mean you want each gaussian in a separate plot? Then,

figure
plot(xgridss1,pdf(objA1,xgridss1),'r-','linewidth',2);
figure
plot(xgridss2,pdf(objA2,xgridss2),'r-','linewidth',2);
figure
plot(xgridss3,pdf(objA3,xgridss3),'r-','linewidth',2);
figure
plot(xgridss4,pdf(objA4,xgridss4),'r-','linewidth',2);

Or perhaps use the subplot command.

If that is not what you mean, then it is not clear (to me) what you want.

[Amr Hashem]

I am sorry if my question is not clear.

I have this (Gaussian mixture of 5 components)

and I want to get something like this:

which is five separate normal distributions in the same scale/Area (mu and sigma) fitting the data.

Thanks in advance.

[Amr Hashem]

I am using Matlab 2012a