Represents the distribution of Student't t statistic.

Namespace: Meta.Numerics.Statistics.Distributions
Assembly: Meta.Numerics (in Meta.Numerics.dll) Version: 2.1.0.0 (2.1.0.0)

Syntax

            
 C#  Visual Basic  Visual C++  F# 
public sealed class StudentDistribution : Distribution
Public NotInheritable Class StudentDistribution _
	Inherits Distribution
public ref class StudentDistribution sealed : public Distribution
[<SealedAttribute>]
type StudentDistribution =  
    class
        inherit Distribution
    end

Members

            
 All Members  Constructors   Properties   Methods  
 Public

 Protected
 Instance

 Static 
 Declared

 Inherited
 XNA Framework Only 

 .NET Compact Framework Only 

 MemberDescription
StudentDistribution(Double)
Initializes a new Student distribution.
DegreesOfFreedom
Gets the number of degrees of freedom.
Equals(Object)
Determines whether the specified Object is equal to the current Object.
(Inherited from Object.)
ExpectationValue(Func<(Of <<'(Double, Double>)>>))
Computes the expectation value of the given function.
(Inherited from Distribution.)
Finalize()()()()
Allows an Object to attempt to free resources and perform other cleanup operations before the Object is reclaimed by garbage collection.
(Inherited from Object.)
GetHashCode()()()()
Serves as a hash function for a particular type.
(Inherited from Object.)
GetRandomValue(Random)
Returns a random value.
(Overrides Distribution..::..GetRandomValue(Random).)
GetType()()()()
Gets the Type of the current instance.
(Inherited from Object.)
InverseLeftProbability(Double)
Returns the point at which the cumulative distribution function attains a given value.
(Overrides Distribution..::..InverseLeftProbability(Double).)
InverseRightProbability(Double)
Returns the point at which the right probability function attains the given value.
(Inherited from Distribution.)
LeftProbability(Double)
Returns the cumulative probability to the left of (below) the given point.
(Overrides Distribution..::..LeftProbability(Double).)
Mean
Gets the mean of the distribution.
(Overrides Distribution..::..Mean.)
Median
Gets the median of the distribution.
(Overrides Distribution..::..Median.)
MemberwiseClone()()()()
Creates a shallow copy of the current Object.
(Inherited from Object.)
Moment(Int32)
Returns the given moment of the distribution.
(Overrides Distribution..::..Moment(Int32).)
MomentAboutMean(Int32)
Returns the given moment of the distribution, about the mean.
(Overrides Distribution..::..MomentAboutMean(Int32).)
ProbabilityDensity(Double)
Returns the probability density at the given point.
(Overrides Distribution..::..ProbabilityDensity(Double).)
RightProbability(Double)
Return the cumulative probability to the right of (above) the given point.
(Overrides Distribution..::..RightProbability(Double).)
Skewness
Ges the skewness of the distribution.
(Overrides Distribution..::..Skewness.)
StandardDeviation
Gets the standard deviation of the distribution.
(Inherited from Distribution.)
Support
Gets the interval over which the distribution is nonvanishing.
(Inherited from Distribution.)
ToString()()()()
Returns a String that represents the current Object.
(Inherited from Object.)
Variance
Gets the variance of the distribution.
(Overrides Distribution..::..Variance.)

Remarks

The mean of n independent standard-normal distributed variables, divided by their root mean square, is distributed according a Student distribution with n degrees of freedom. Since this is the form of the expression for the mean of a sample divided by its standard deviation, the Student distribution expresses the distribution of sample means arround the population mean, for a normally distributed population.

Inheritance Hierarchy

System..::..Object
  Meta.Numerics.Statistics.Distributions..::..Distribution
    Meta.Numerics.Statistics.Distributions..::..StudentDistribution

See Also