Evaluates the Pareto cumulative probability distribution function.
Namespace: Imsl.StatAssembly: ImslCS (in ImslCS.dll) Version: 6.5.2.0
Syntax public static double Pareto(
double x,
double xm,
double k
)
Public Shared Function Pareto (
x As Double,
xm As Double,
k As Double
) As Double
public:
static double Pareto(
double x,
double xm,
double k
)
static member Pareto :
x : float *
xm : float *
k : float -> float
Parameters
- x
- Type: SystemDouble
A double scalar value representing the argument at which the
function is to be evaluated.
- xm
- Type: SystemDouble
A double scalar value representing the scale parameter,
.
- k
- Type: SystemDouble
A double scalar value representing the shape parameter,
.
Return Value
Type:
Double
A
double scalar value representing the probability that a
Pareto random variable takes a value less than or equal to
x.
Remarks
Method
Cdf.Pareto evaluates the distribution function,
F,
of a Pareto random variable with scale parameter
and shape parameter
k. It is given
by
where
and
. The
function is only defined for
.
See Also