Probability distribution (between zero and 1)

Hello,

I have a 9216000*1 column of acceleration data, and I want to plot the acceleration vs probability (which is between 0 and 1) graph, similar to these (ignore the red area):

I tried several commands but none of them gave me what I wanted.

figure(1)
x1=udd(:,1);
histogram(x1,'Normalization','probability');
[N,edges]=histcounts(x1);
figure(2)
[f,xi] = ksdensity(x1);
plot(xi,f);


[p,x] = hist(x1,length(N)); 
figure(3)
sz = 25;
c = linspace(1,10,length(x));
scatter(x,p/sum(p),sz,c,'filled'); %PDF

figure(4)
histfit(x1,length(N),'normal');

I want something similar to figure 2 or 4, where I can compare my data distribution with normal distribution, but not as histograms. And I want the y axis to be probability.

Thanks,

Amir

Answer 1

[Torsten]

Figure 2 with the ksdensity command is exactly what you need.

The y-axis never represents probability in the plot of probability density functions - probability is the area under the curves. The "normal distribution curve" you show above (with the red area) is wrong since the area under the curve does not equal 1.