Generalized Gamma Distribution with Threshold

Probability Density Function (PDF)

Cumulative Distribution Function (CDF)

where 𝛤(𝛽) is the Gamma function and 𝛾(𝑘, 𝑧) is the lower incomplete Gamma function.

• Range 0 ≤ 𝑥 - 𝜃 < ∞
• Scale Parameter 𝛼 > 0
• Shape1 parameter 𝑘 > 0
• Shape1 parameter 𝑝 > 0
• Threshold parameter 𝜃 < 𝑚𝑖𝑛(𝑥)