theory-simulationlisted

Bridge between theoretical results and Monte Carlo simulation, built to top-stat-journal standards (AoS, JASA, JRSS-B, Biometrika, Bernoulli). Two modes: (1) DESIGN mode — for each theoretical claim, design new simulations that verify rates, coverage, stress-test assumptions, and reveal theory-improvement opportunities; (2) AUDIT mode — when the paper already has simulations, evaluate whether they actually verify the theorems, identify claim-coverage gaps and adequacy flaws, and propose targeted improvements (extend / add / reformat) rather than full redesign. Produces publication-grade figures (no titles, content in caption, color-blind safe) and feeds findings back to refine theory. Use when user says "simulation plan", "Monte Carlo", "验证理论", "审查 simulation", "audit simulation", "模拟实验", "已有 simulation 检查", "stress test theory", "bridge simulation", "rate verification", or wants reproducible stat-journal simulations tied to theorems.
gyf9712/stat-theory-skills · ★ 0 · AI & Automation · score 78

Install: claude install-skill gyf9712/stat-theory-skills

# Theory-Simulation — Bridge Theory and Monte Carlo for Statistics Papers > 🔬 **Model Recommendation**: Run this skill on **Claude Opus** for best results. > Designing rate-verifying experiments and reconciling theory with empirical results > requires deep reasoning. If your session is not on Opus, run `/model opus`. Bridges theoretical results and simulation experiments, two-way: ``` Theory ←————— stress tests, rate slopes ——————→ Simulation ←————— sharper bounds, weakened —————→ assumptions discovered from sim ``` Built to **top statistics journal standards**: clearly stated DGPs, multiple sample sizes, Monte Carlo replications, rate verification via log-log slopes, stress tests on every assumption, finite-sample vs asymptotic comparisons, and publication-grade figures conforming to AoS / JASA / Biometrika / JRSS-B style. ## Context: $ARGUMENTS --- ## Pipeline Position ``` /proofcheck → /proof-repair → /theory-sharpen → /theory-simulation → /proof-writer Correct? Fix issues Strengthen theory Verify + stress Write proofs (this skill) ``` This skill can also run standalone if user has theorems and wants Monte Carlo verification without a full pipeline. --- ## Core Philosophy A theoretical result is taken seriously by reviewers when simulation: 1. **Confirms** the predicted rate/coverage/bias under stated assumptions 2. **Breaks** in the predicted way when assump