Beta Structure

Infer.NET Documentation

Microsoft Research, Cambridge

A Beta distribution over the interval [0,1].

Namespace:�MicrosoftResearch.Infer.Distributions
Assembly:�Infer.Runtime (in Infer.Runtime.dll) Version: 2.5.30417.0 (2.5.30417.0)

Syntax

C++

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[SerializableAttribute]
[Quality(QualityBand.Mature)]
public�struct�Beta : IDistribution<double>, ICloneable, 
	HasPoint<double>, CanGetLogProb<double>, SettableTo<Beta>, 
	SettableToProduct<Beta>, SettableToProduct<Beta, Beta>, 
	Diffable, SettableToUniform, SettableToRatio<Beta>, SettableToRatio<Beta, Beta>, 
	SettableToPower<Beta>, SettableToWeightedSum<Beta>, CanGetLogAverageOf<Beta>, 
	CanGetLogAverageOfPower<Beta>, CanGetAverageLog<Beta>, CanGetLogNormalizer, 
	Sampleable<double>, CanGetMean<double>, CanGetVariance<double>, 
	CanGetMeanAndVarianceOut<double, double>, CanSetMeanAndVariance<double, double>

[SerializableAttribute]
[Quality(QualityBand.Mature)]
public�struct�Beta : IDistribution<double>, ICloneable, 
	HasPoint<double>, CanGetLogProb<double>, SettableTo<Beta>, 
	SettableToProduct<Beta>, SettableToProduct<Beta, Beta>, 
	Diffable, SettableToUniform, SettableToRatio<Beta>, SettableToRatio<Beta, Beta>, 
	SettableToPower<Beta>, SettableToWeightedSum<Beta>, CanGetLogAverageOf<Beta>, 
	CanGetLogAverageOfPower<Beta>, CanGetAverageLog<Beta>, CanGetLogNormalizer, 
	Sampleable<double>, CanGetMean<double>, CanGetVariance<double>, 
	CanGetMeanAndVarianceOut<double, double>, CanSetMeanAndVariance<double, double>

[<SealedAttribute>]
[<SerializableAttribute>]
[<Quality(QualityBand.Mature)>]
type�Beta =  
    struct�
��������interface�IDistribution<float>
        interface�ICloneable�
��������interface�HasPoint<float>
        interface�CanGetLogProb<float>
        interface�SettableTo<Beta>
        interface�SettableToProduct<Beta>
        interface�SettableToProduct<Beta, Beta>
        interface�Diffable�
��������interface�SettableToUniform�
��������interface�SettableToRatio<Beta>
        interface�SettableToRatio<Beta, Beta>
        interface�SettableToPower<Beta>
        interface�SettableToWeightedSum<Beta>
        interface�CanGetLogAverageOf<Beta>
        interface�CanGetLogAverageOfPower<Beta>
        interface�CanGetAverageLog<Beta>
        interface�CanGetLogNormalizer�
��������interface�Sampleable<float>
        interface�CanGetMean<float>
        interface�CanGetVariance<float>
        interface�CanGetMeanAndVarianceOut<float, float>
        interface�CanSetMeanAndVariance<float, float>
    end

[<SealedAttribute>]
[<SerializableAttribute>]
[<Quality(QualityBand.Mature)>]
type�Beta =  
    struct�
��������interface�IDistribution<float>
        interface�ICloneable�
��������interface�HasPoint<float>
        interface�CanGetLogProb<float>
        interface�SettableTo<Beta>
        interface�SettableToProduct<Beta>
        interface�SettableToProduct<Beta, Beta>
        interface�Diffable�
��������interface�SettableToUniform�
��������interface�SettableToRatio<Beta>
        interface�SettableToRatio<Beta, Beta>
        interface�SettableToPower<Beta>
        interface�SettableToWeightedSum<Beta>
        interface�CanGetLogAverageOf<Beta>
        interface�CanGetLogAverageOfPower<Beta>
        interface�CanGetAverageLog<Beta>
        interface�CanGetLogNormalizer�
��������interface�Sampleable<float>
        interface�CanGetMean<float>
        interface�CanGetVariance<float>
        interface�CanGetMeanAndVarianceOut<float, float>
        interface�CanSetMeanAndVariance<float, float>
    end

[SerializableAttribute]
[Quality(QualityBand::Mature)]
public�value class�Beta : IDistribution<double>, 
	ICloneable, HasPoint<double>, CanGetLogProb<double>, SettableTo<Beta>, 
	SettableToProduct<Beta>, SettableToProduct<Beta, Beta>, 
	Diffable, SettableToUniform, SettableToRatio<Beta>, SettableToRatio<Beta, Beta>, 
	SettableToPower<Beta>, SettableToWeightedSum<Beta>, CanGetLogAverageOf<Beta>, 
	CanGetLogAverageOfPower<Beta>, CanGetAverageLog<Beta>, CanGetLogNormalizer, 
	Sampleable<double>, CanGetMean<double>, CanGetVariance<double>, 
	CanGetMeanAndVarianceOut<double, double>, CanSetMeanAndVariance<double, double>

[SerializableAttribute]
[Quality(QualityBand::Mature)]
public�value class�Beta : IDistribution<double>, 
	ICloneable, HasPoint<double>, CanGetLogProb<double>, SettableTo<Beta>, 
	SettableToProduct<Beta>, SettableToProduct<Beta, Beta>, 
	Diffable, SettableToUniform, SettableToRatio<Beta>, SettableToRatio<Beta, Beta>, 
	SettableToPower<Beta>, SettableToWeightedSum<Beta>, CanGetLogAverageOf<Beta>, 
	CanGetLogAverageOfPower<Beta>, CanGetAverageLog<Beta>, CanGetLogNormalizer, 
	Sampleable<double>, CanGetMean<double>, CanGetVariance<double>, 
	CanGetMeanAndVarianceOut<double, double>, CanSetMeanAndVariance<double, double>

<SerializableAttribute> _
<Quality(QualityBand.Mature)> _
Public�Structure�Beta _
	Implements�IDistribution(Of�Double), ICloneable,  _
	HasPoint(Of�Double), CanGetLogProb(Of�Double), SettableTo(Of�Beta),  _
	SettableToProduct(Of�Beta), SettableToProduct(Of�Beta, Beta),  _
	Diffable, SettableToUniform, SettableToRatio(Of�Beta), SettableToRatio(Of�Beta, Beta),  _
	SettableToPower(Of�Beta), SettableToWeightedSum(Of�Beta), CanGetLogAverageOf(Of�Beta),  _
	CanGetLogAverageOfPower(Of�Beta), CanGetAverageLog(Of�Beta), CanGetLogNormalizer,  _
	Sampleable(Of�Double), CanGetMean(Of�Double), CanGetVariance(Of�Double),  _
	CanGetMeanAndVarianceOut(Of�Double, Double), CanSetMeanAndVariance(Of�Double, Double)

<SerializableAttribute> _
<Quality(QualityBand.Mature)> _
Public�Structure�Beta _
	Implements�IDistribution(Of�Double), ICloneable,  _
	HasPoint(Of�Double), CanGetLogProb(Of�Double), SettableTo(Of�Beta),  _
	SettableToProduct(Of�Beta), SettableToProduct(Of�Beta, Beta),  _
	Diffable, SettableToUniform, SettableToRatio(Of�Beta), SettableToRatio(Of�Beta, Beta),  _
	SettableToPower(Of�Beta), SettableToWeightedSum(Of�Beta), CanGetLogAverageOf(Of�Beta),  _
	CanGetLogAverageOfPower(Of�Beta), CanGetAverageLog(Of�Beta), CanGetLogNormalizer,  _
	Sampleable(Of�Double), CanGetMean(Of�Double), CanGetVariance(Of�Double),  _
	CanGetMeanAndVarianceOut(Of�Double, Double), CanSetMeanAndVariance(Of�Double, Double)

Remarks

The Beta is often used as a distribution on probability values. The formula for the distribution is p(x) = (Gamma(trueCount+falseCount)/Gamma(trueCount)/Gamma(falseCount)) x^{trueCount-1} (1-x)^(falseCount-1) subject to the constraint 0 <= x <= 1.

If trueCount = falseCount = 1, the distribution is uniform. If falseCount = infinity, the distribution is redefined to be a point mass on trueCount. When trueCount <= 0 or falseCount <= 0, the distribution is improper. In this case, the density is redefined to not include the Gamma terms, i.e. there is no normalizer.