Student's T Distribution with Location and Scale
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Probability Density Function (PDF)
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Cumulative Distribution Function (CDF)
- where
- and where 𝛤 is the gamma function, and 𝛪z(𝑎, 𝑏) is the regularized incomplete beta function
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• Range -∞ < 𝑥 < ∞
• Location parameter 𝜇
• Scale parameter 𝛼 > 0
• Shape parameter 𝜈 > 0
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