StudentDistribution Class 
Namespace: Meta.Numerics.Statistics.Distributions
The StudentDistribution type exposes the following members.
Name  Description  

StudentDistribution 
Initializes a new Student distribution.

Name  Description  

DegreesOfFreedom 
Gets the number of degrees of freedom.
 
ExcessKurtosis 
Gets the excess kurtosis of the distribution.
(Overrides UnivariateDistributionExcessKurtosis.)  
Mean 
Gets the mean of the distribution.
(Overrides UnivariateDistributionMean.)  
Median 
Gets the median of the distribution.
(Overrides ContinuousDistributionMedian.)  
Skewness 
Gets the skewness of the distribution.
(Overrides UnivariateDistributionSkewness.)  
StandardDeviation 
Gets the standard deviation of the distribution.
(Inherited from UnivariateDistribution.)  
Support 
Gets the interval over which the distribution is nonvanishing.
(Inherited from ContinuousDistribution.)  
Variance 
Gets the variance of the distribution.
(Overrides UnivariateDistributionVariance.) 
Name  Description  

CentralMoment 
Computes a central moment of the distribution.
(Overrides ContinuousDistributionCentralMoment(Int32).)  
Cumulant 
Computes a cumulant of the distribution.
(Inherited from UnivariateDistribution.)  
Equals  Determines whether the specified object is equal to the current object. (Inherited from Object.)  
ExpectationValue 
Computes the expectation value of the given function.
(Inherited from ContinuousDistribution.)  
GetHashCode  Serves as the default hash function. (Inherited from Object.)  
GetRandomValue 
Generates a random variate.
(Overrides ContinuousDistributionGetRandomValue(Random).)  
GetRandomValues 
Generates the given number of random variates.
(Inherited from ContinuousDistribution.)  
GetType  Gets the Type of the current instance. (Inherited from Object.)  
Hazard 
Computes the hazard function.
(Inherited from ContinuousDistribution.)  
InverseLeftProbability 
Returns the point at which the cumulative distribution function attains a given value.
(Overrides ContinuousDistributionInverseLeftProbability(Double).)  
InverseRightProbability 
Returns the point at which the right probability function attains the given value.
(Inherited from ContinuousDistribution.)  
LeftProbability 
Returns the cumulative probability to the left of (below) the given point.
(Overrides ContinuousDistributionLeftProbability(Double).)  
ProbabilityDensity 
Returns the probability density at the given point.
(Overrides ContinuousDistributionProbabilityDensity(Double).)  
RawMoment 
Computes a raw moment of the distribution.
(Overrides ContinuousDistributionRawMoment(Int32).)  
RightProbability 
Returns the cumulative probability to the right of (above) the given point.
(Overrides ContinuousDistributionRightProbability(Double).)  
ToString  Returns a string that represents the current object. (Inherited from Object.) 
The mean of n independent standardnormal 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.