BetaDistribution Constructor

public BetaDistribution(
	Vector<double> variable
)

Public Sub New ( 
	variable As Vector(Of Double)
)

public:
BetaDistribution(
	Vector<double>^ variable
)

new : 
        variable : Vector<float> -> BetaDistribution

Parameters

variable  Vector<Double>

A vector.

This constructor estimates the distribution of variable using the matching moments method. The lower and upper bound are assumed to be zero and one.

public BetaDistribution(
	double alpha,
	double beta
)

Public Sub New ( 
	alpha As Double,
	beta As Double
)

public:
BetaDistribution(
	double alpha, 
	double beta
)

new : 
        alpha : float * 
        beta : float -> BetaDistribution

Parameters

alpha  Double

First shape parameter of the distribution.

beta  Double

Second shape parameter of the distribution.

Beta distributions have two shape parameters, usually called α and β. The first determines the behavior at the lower bound of the definition interval. The second determines the behavior at the upper bound of the definition interval.

This constructor creates a BetaDistribution that is defined over the interval from zero to one. Another constructor allows you to specify the interval.

public BetaDistribution(
	Vector<double> variable,
	EstimationMethod method
)

Public Sub New ( 
	variable As Vector(Of Double),
	method As EstimationMethod
)

public:
BetaDistribution(
	Vector<double>^ variable, 
	EstimationMethod method
)

new : 
        variable : Vector<float> * 
        method : EstimationMethod -> BetaDistribution

Parameters

variable  Vector<Double>

A vector.

method  EstimationMethod

An EstimationMethod value that specifies the method to be used to estimate the distribution parameters.

This constructor estimates the distribution of variable using the matching moments method. The lower and upper bound are assumed to be zero and one.

public BetaDistribution(
	double alpha,
	double beta,
	double lowerBound,
	double upperBound
)

Public Sub New ( 
	alpha As Double,
	beta As Double,
	lowerBound As Double,
	upperBound As Double
)

public:
BetaDistribution(
	double alpha, 
	double beta, 
	double lowerBound, 
	double upperBound
)

new : 
        alpha : float * 
        beta : float * 
        lowerBound : float * 
        upperBound : float -> BetaDistribution

Parameters

alpha  Double

First shape parameter of the distribution.

beta  Double

Second shape parameter of the distribution.

lowerBound  Double

The lower bound of the interval on which the Beta distribution is defined.

upperBound  Double

The upper bound of the interval on which the Beta distribution is defined.

Use this constructor to create a BetaDistribution that models random samples with a specified finite range. The lowerBound and upperBound parameters specify the boundaries of this interval.

Beta distributions have two shape parameters, usually called α and β. The first determines the behavior at the lower bound of the definition interval. The second determines the behavior at the upper bound of the definition interval.

The lowerBound and upperBound specify the lower and upper bound of the definition interval. The probability density is zero outside this interval. The upper bound must be greater than the lower bound. Otherwise, an ArgumentException is thrown.

Reference