User:Beakerboy/Studentized range distribution

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

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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).

User:Beakerboy/Studentized range distribution

Contents

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

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

Parameters	$\nu >0$ degrees of freedom (real)
Support	x ∈ [0; +∞)