244 Frequently Asked Questions In Quantitative Finance
Variance
1
3
π^2 b^2.
Laplace This distribution is unbounded below and above.
It has two parameters:a, location;b>0 scale. Its prob-
ability density function is given by
1
2 b
e−
|x−a|
b.
Errors in observations are usually either normal or
Laplace.
Mean
a.
Variance
2 b^2.
Laplace
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0.18
-4 -3 -2 -1 0 1 2 3 4
a = 1
b = 3