JuliaStats/Distributions.jl

Health v2 · maintenance only

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Adoption not part of the score

1197 stars · 444 forks observed · 2026-08-28

What it is AI-extracted, prompt v1, taxonomy v1, 2026-08-30, confidence not recorded

A Julia package providing a comprehensive collection of probability distributions and associated functions. It implements moments, entropy, density/mass functions, moment generating and characteristic functions, sampling, and maximum likelihood estimation.

Use cases

• sample random numbers from a probability distribution in Julia
• compute pdf, logpdf, mean, variance, skewness, and kurtosis of a distribution
• fit distributions to data via maximum likelihood estimation
• evaluate moment generating and characteristic functions
• model uncertainty in statistical simulations
• work with entropy and other distribution properties

When to choose

• you need a broad, well-tested library of probability distributions in Julia
• you are doing statistical modeling, simulation, or Bayesian work in Julia
• you need sampling, moments, and density functions with a consistent API

When to avoid

• you need conjugate prior functionality (moved to ConjugatePriors.jl)
• you are working in a language other than Julia
• you need deep learning specific distributions or GPU-native sampling

Facets

library · maturity stable

math data-science machine-learning data-science mathematics probability-distributions sampling maximum-likelihood julia statistics

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markdown · JSON · MCP: product_card(name="JuliaStats/Distributions.jl")