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

How Student's distribution arises from sampling

Definition

Probability density function

Cumulative distribution function

Special cases

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

How the -distribution arises

Sampling distribution

Characterization

As the distribution of a test statistic

Derivation

As a maximum entropy distribution

Properties

Moments

Monte Carlo sampling

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

Differential equation

References

External links