Cdf.Uniform Method

CdfUniform Method

Evaluates the uniform cumulative probability distribution function.

Namespace: Imsl.Stat
Assembly: ImslCS (in ImslCS.dll) Version: 6.5.2.0

Syntax

public static double Uniform(
	double x,
	double aa,
	double bb
)

Public Shared Function Uniform ( 
	x As Double,
	aa As Double,
	bb As Double
) As Double

public:
static double Uniform(
	double x, 
	double aa, 
	double bb
)

static member Uniform : 
        x : float * 
        aa : float * 
        bb : float -> float

x: Type: SystemDouble
A double scalar value representing the argument at which the function is to be evaluated.
aa: Type: SystemDouble
A double scalar value representing the location parameter.
bb: Type: SystemDouble
A double scalar value representing the scale parameter.

Type: Double
A double scalar value representing the probability that a Uniform random variable takes a value less than or equal to x.

Remarks

Method Cdf.Uniform evaluates the distribution function, F, of a uniform random variable with location parameter aa and scale parameter bb; that is,

$f(x)=\left\{\begin{array}{cl} 0 & \mbox{if}~ x \lt aa \\ \frac{x-aa}{bb-aa} & \mbox{if}~ aa\le x\le bb \\ 1 &\mbox{if}~ x>bb \end{array}\right.$

Plot of Uniform Distribution Function