A basic simple question, but of quite a bit of importance to me:

I'm dealing with a rather gaussian distribution, and I want to
calculate the kurtosis of the distribution. Is it necessary to adjust
the gaussian distribution to a standardnormal distribution to
calculate the kurtosis or not?
In other words: is kurtosis dependent of the variance of the
distribution.
I expect this not to be the case. 
Therefore I obtained the kurtosis without standardisation. In a
further step I correlated a few variables, and kurtosis and
standarddeviation seemed to be very significant correlated. This could
be inherent to my data, and would be very interesting, but therefore I
would have to be sure kurtosis and variance/standarddeviation are
independent!
So here comes my question again: are they independent, and if they
are: are they under any circumstance independent or are there
limitations?

With kind regards,
Tim
.
.
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