how to calculate mean square error?

hello everyone, I separated the signals from noise by passing them through a low pass filter. I extracted the histogram of the noiseless signals. I tried to fit in matlab. the optimal distributions seem to be exponential and weilbull. I want to calculate the mean square error for these two distributions. I will use whichever distribution has the least error rate. But I don't know how to calculate mean square error. I would be very happy if you could help me with this subject.

signal=1x512712 double

Answer 1

[Sulaymon Eshkabilov]

Here is the sample code how to compute MSE from the histogram fit model:

x = ....                                     % Your data. You've got it.  
% Handle of the figure is needed
HH   = histfit(x,Nbins);                     % HISTOGRAM fit model build. You've got it

%% Separate out the data from HISTOGRAM Plot and Fit Model
Data = get(HH(1),'XData');                   % HIST Data
FM   = get(HH(2),'YData');                   % FIT Model
MD   = mean(DATA);                           % MEAN Of Bins
FM2 = mean(reshape(FM, 2, []));           % Mean Of Bin Edges Fit
ERR = MD - FM2;                           % ERR
SSE = sum(ERR.^2);                        % Sum-Squared Error
MSE = mean(ERR.^2);                       % Mean-Squared-Error

[Sulaymon Eshkabilov]

You'd need to apply the above procedure for each of them individually.

[studentmatlaber]

Thank you very much for your answer, but I have a few questions I want to ask.

You said that I have to apply separately for each one. In the code you sent as an example, the index length 'x' is 512712. In other words, the data whose histogram I have drawn consists of 512712 windows. Should I get it in a for loop and have it do it 512712 times? Please excuse my inexperience in this matter.

[Sulaymon Eshkabilov]

Yes, you may consider the loop in your case.

[studentmatlaber]

@Sulaymon Eshkabilov Hello again. Could you please take a look at my question in this link? I really can't find the answer. I fit the distribution manually. But now I can't calculate the mean square error of the histogram with manual fit. https://uk.mathworks.com/matlabcentral/answers/868318-how-to-calculate-mean-square-error-in-histogram?s_tid=srchtitle

[Sulaymon Eshkabilov]

Ok. I'll have a look a bit later today.

[studentmatlaber]

I'm so sorry, I didn't realize I didn't hit the accept button. I used your solution for auto fit but couldn't adapt it for manual fit.