Next:
Example: distribution
Up:
Interpretation of the Wave
Previous:
Probability densities
 
Contents
Example: Gauss distribution
Definition 2
(Gauss Distribution) The function
(26)
is the probability density of the Gauss distribution with parameters
and
.
We have the following important integral (Gauss integral):
(27)
Proof: First consider
. Calculate
(28)
and take the square-root of this equation. Then do the case with general
and
by completing the square in the exponential and substitution (exercise!).
Tobias Brandes 2004-02-04