Laplace Distribution
for the Probability Distribution Calculator
Density
Function. The Laplace (or Double Exponential) distribution
has the probability density function:
f(x) = 1/(2b) * e[(xa/b)], ∞ <x<∞
where
a 
is the
location parameter (mean) 
b 
is the
scale parameter 
e 
is the
base of the natural logarithm, sometimes called Euler's e (2.71...) 
Distribution
Function. The cumulative distribution function (the term
was first introduced by Wilks, 1943) for the Laplace distribution is:
F(x) 
= 1/2 * e[(ax)/b],
x < a 

= 1  {1/2 * e[(xa)/b]},
x ³ a 
L.
This field displays the current variate value for the Laplace
distribution. When you edit this value (either manually or with the microscrolls),
Statistica computes the associated pvalue
for the specified parameters.
p.
This field displays the pvalue
computed from the specified variate value and parameters or you can enter
a desired pvalue (either manually
or edit the existing value with the microscrolls)
and compute the critical value of the distribution for the specified parameters.
Location,
Scale. Specify here the location and scale parameters of
the distribution, a and b, respectively. If one or both of
these parameters are changed, then the pvalue
will be recomputed based on the respective variate value.