F Distribution with Threshold

Probability Density Function (PDF)

Cumulative Distribution Function (CDF)

where 𝐵(𝑎, 𝑏) is the Beta function, and where 𝐼_x(𝑎, 𝑏) is the regularized incomplete Beta function.

• Range 0 ≤ 𝑥 - 𝜃 < ∞
• Shape1 parameter 𝜈 > 0, integer, first degrees of freedom
• Shape2 parameter 𝑤 > 0, integer, second degrees of freedom
• Threshold parameter 𝜃 < 𝑚𝑖𝑛(𝑥)