Probability Density Function using ksdensity is not normalized

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I have a vector "columnA" of N data points. I want to find the PDF. I use:
xi = min(columnA):1e-9:max(columnA);
f = ksdensity(columnA,xi);
plot(xi,f)
But when I use trapz to integrate f:
trapz(f)/length(xi)
the value is too far from 1. Even when increasing the range of xi, I still do not get reasonable value.

Answers (3)

VladTheInstaller
VladTheInstaller on 15 Jan 2017
Actually, the output from ksdensity is normalized, but you will have to use numerical integration along the appropriate space. In your case,
trapz(xi,f)
should be close to 1.

Image Analyst
Image Analyst on 21 Aug 2014
Why not use hist() or histc() to get the histogram? The histogram is essentially the probability density function.

Youssef  Khmou
Youssef Khmou on 21 Aug 2014
The ksdensity produces a Probability density function, no need to divide by the length of the x vector :
x=randn(200,1);
y=[min(x):0.1:max(x)];
p=ksdensity(x,y);
sum(p)
% plot(y,p)

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