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User:Beakerboy/Studentized range distribution

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Studentized Range Distribution
Parameters degrees of freedom (real)
Support x ∈ [0; +∞)

In probability and statistics,

History and etymology[edit]

How Student's distribution arises from sampling[edit]

Definition[edit]

Probability density function[edit]

Cumulative distribution function[edit]

Special cases[edit]

When k=2, the distribution becomes Student's T Distribution * sqrt(2).

How the -distribution arises[edit]

Sampling distribution[edit]

Characterization[edit]

As the distribution of a test statistic[edit]

Derivation[edit]

As a maximum entropy distribution[edit]

Properties[edit]

Moments[edit]

Monte Carlo sampling[edit]

Integral of Student's probability density function and p-value[edit]

Differential equation[edit]

References[edit]

External links[edit]