Numerical Issues with Scipy Beta Distribution and Numpy Clip Operations
α, β < 0: Invalid region
α = β = 1: Constant distribution, B(x; 1, 1) ≡ 1
α, β > 1: Bell-shaped (unimodal)
0 < α < 1 ≤ β: L-shaped
0 < β < 1 ≤ α: J-shaped
0 < α, β < 1: U-shaped
The last three categories approach positive infinity at the boundaries (0 or 1), which can cause numerical problems in programming:
invalid va ...
Posted on Wed, 19 Aug 2026 16:29:01 +0000 by tfburges