Logarithmic Distribution

The Logarithmic pdf is a one parameter generalized power series distribution.

Probability Density Function (PDF)

Cumulative Distribution Function (CDF)

where B(𝑥 𝑎, 𝑏) is the incomplete beta function.

• Support 𝑥 ∈ {1,2,3, ...}
• Probability parameter, 𝑝: 0 ≤ 𝑝 ≤ 1