the sum of the two gaussian distributions

on 26 Jul 2013

the cyclist (view profile)

```ratio1 = 25;
ratio2 = ratio1/4;
```
```mu1 = 7.5;
FWHM1 = 60;
sigma1 = FWHM1/(2*sqrt(2*log(2)));
w1 = -100:100;
p1 = -.5 * ((w1 - mu1)/sigma1) .^ 2;
p2 = (sigma1 * sqrt(2*pi));
gauss1 = ratio1*exp(p1) ./ p2;
```
```mu2 = -7.5;
FWHM2 = 55;
sigma2 = FWHM2/(2*sqrt(2*log(2)));
w2 = -100:100;
p3 = -.5 * ((w2 - mu2)/sigma2) .^ 2;
p4 = (sigma2 * sqrt(2*pi));
gauss2 = ratio2*exp(p3) ./ p4;
```
```hold all
plot(w1,gauss1);
hold all
plot(w2,gauss2);
hold all
grid on
```

How can I sum two distribution to obtain a plot representing the sum of two gaussian distributions?

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the cyclist (view profile)

on 26 Jul 2013
Edited by the cyclist

the cyclist (view profile)

on 26 Jul 2013

If you literally want the sum (as opposed to some kind of joint probability), you can just add the two:

```plot(w1,gauss1+gauss2,'r')
```

You can do that here because you calculated gauss1 and gauss2 over the same range.