I have a signal (Y)
with 200000
samples. I plotted probability density function (PDF
) of the signal and the Gaussian distribution
that has the same values of Mean
and Standard deviatio
n of original signal. The kurtosis
of signal (Y)
is 3.12
. Looking to the signal shows that Normal distribution
using same values of Mean and Standard deviation has higher peak than signal (Y)
. Can I say this signal has Leptokurtic distribution
because it has of 3.12
grater than 3
? If yes why PDF
plotting shows higher peak for the normal distribution
?
I used to find kurtosis
k = kurtosis(Y)
For Normal distribution
Gaussian=(1/sqrt(2*pi*var(Y)))*exp(-(U-mean(Y)).^2/(2*var(Y)));
Should any signal that has kurtosis > 3
will have Leptokurtic distribution