StudentDistribution Class

public sealed class StudentDistribution : ContinuousDistribution

Public NotInheritable Class StudentDistribution
	Inherits ContinuousDistribution

public ref class StudentDistribution sealed : public ContinuousDistribution

[<SealedAttribute>]
type StudentDistribution = 
    class
        inherit ContinuousDistribution
    end

Inheritance

Object    UnivariateDistribution    ContinuousDistribution    StudentDistribution

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.

The origin of the name Student distribution is a nice bit of statistical trivia. William Gosset published a paper describing the distribution and its statistical applications in 1908. His employer, the Guiness Brewery, did not want other brewers to be tipped off to its application to comparing small samples of beer, so they asked him to publish under a pseudonym. He published the paper under the name "Student" and the distribution has been known by that name since.

Reference

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