Normal Distribution.Distribution Function Method
Definition
Namespace: Numerics.NET.Statistics.Distributions
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.3
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.3
Overload List
Distribution | Evaluates the cumulative distribution function (CDF) of this distribution for the specified value. |
Distribution | Evaluates the cumulative distribution function (CDF) of this distribution for the specified value. |
DistributionFunction(Double)
Evaluates the cumulative distribution function
(CDF) of this distribution for the specified value.
public override double DistributionFunction(
double x
)
Parameters
- x Double
- A real number.
Return Value
DoubleThe value of the cumulative distribution function for the specified value.
Remarks
The distribution function of a distribution, often also called the cumulative distribution function (CDF), gives the probability that a sample from the distribution will be less than or equal to the specified value.
The distribution function is the integral from -infinity to x of the . It is the complement of the SurvivorDistributionFunction(Double).
DistributionFunction(Double, Double, Double)
Evaluates the cumulative distribution function
(CDF) of this distribution for the specified value.
public static double DistributionFunction(
double x,
double mean,
double standardDeviation
)
Parameters
- x Double
- A real number.
- mean Double
- The mean of the distribution.
- standardDeviation Double
- The standard deviation of the distribution.
Return Value
DoubleThe value of the cumulative distribution function for the specified value.
Remarks
The cumulative distribution function (CDF) of a distribution gives the probability that a sample from the distribution will be less than or equal to the specified value.
Exceptions
Argument | standardDeviation is less than or equal to zero. |