DistributionsExtra.jl

Distributions.jl-related functions that are too niche, experimental, or could not be included into Distributions.jl proper for other reasons.

Current content:

• ℙ(pred, dist). Compute the probability of a predicate being true under a given distribution. In mathematical terms, it computes ℙ(pred(x)) given that x ~ dist.

  julia> ℙ(>(0), Normal(0, 1))
  0.5
  
  julia> ℙ((@o abs(_) > 2), Normal(0, 1))
  0.04550026309183032

  See more details in the ℙ docstring.

• Support for intervals in distributions constructors whenever it makes sense: Uniform(1..5), truncated(dist, 0..Inf), ... .
  Unfortunately, the corresponding PR to Distributions.jl wasn't accepted.

• New distribution types (no proper docs for now):

  • PiecewiseUniform
  • Uniform on a sphere: SphereUniformArea for 3d xyz parametrization, and SphereUniformLonLat for 2d lon-lat parametrization
  • Piecewise-uniform on a sphere: SpherePiecewiseLatUniformArea for 2d lon-lat parametrization