Core mathematical concepts and theoretical frameworks for statistics
Mathematical Foundations Core mathematical statistics theory for rigorous methodology development Use this skill when working on: theoretical derivations requiring classical statistics, optimality arguments, exponential family manipulations, decision theoretic comparisons, or foundational probability theory. Sufficiency Sufficiency Definition A statistic $T(X)$ is sufficient for parameter $\theta$ if the conditional distribution of $X$ given $T(X)$ does not depend on $\theta$: $$P(X x \mid T(X)…
Full body not shown for this license – view the source on GitHub →Copy a source-pinned command for your client. You run it yourself.
Destination: .claude/skills/mathematical-foundations · pinned to the source commit
# Run from your project root
git clone https://github.com/brycewang-stanford/Auto-Empirical-Research-Skills.git .skillboard-tmp
git -C .skillboard-tmp checkout 692e9fa3fea40bbdf614584d461851f8fb968ac2
mkdir -p ".claude/skills"
cp -r ".skillboard-tmp/skills/26-Data-Wise-scholar/skills/mathematical/mathematical-foundations" ".claude/skills/"
rm -rf .skillboard-tmpReview the source before running. This copies files into your project; it is not a one-click install and does not verify runtime safety.
sudo apt update && sudo apt install -y gitnpm install -g @anthropic-ai/claude-code# Run from your project root
git clone https://github.com/brycewang-stanford/Auto-Empirical-Research-Skills.git .skillboard-tmp
git -C .skillboard-tmp checkout 692e9fa3fea40bbdf614584d461851f8fb968ac2
mkdir -p ".claude/skills"
cp -r ".skillboard-tmp/skills/26-Data-Wise-scholar/skills/mathematical/mathematical-foundations" ".claude/skills/"
rm -rf .skillboard-tmpDestination: .claude/skills/mathematical-foundations
Scanner static-checks@0.1.0 · commit 692e9fa3fea4. Static checks cannot prove runtime safety – review the source and the exact diff before installing. How checks work.
No static rules matched. This is not a safety guarantee.