Chi-Squared Distribution with Scale and Threshold

Probability Density Function (PDF)

Cumulative Distribution Function (CDF)

where 𝛤 is the Gamma function.

Range 0 ≤ 𝑥 - 𝜃 < ∞

Shape parameter 𝜈 > 0

Scale parameter 𝛽 > 0

Threshold parameter 𝜃 < 𝑚𝑖𝑛(𝑥)