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Agent skill

Statistical Theory Analysis

by aiming-lab in aiming-lab/AutoResearchClaw

Analyze theoretical properties of statistical methods under the formal formulation: identifiability, bias, variance, consistency, asymptotics, coverage, error bounds, robustness, and limitations.

MITAuto-check passed

Install Statistical Theory Analysis

skills CLI
$ npx skills add aiming-lab/AutoResearchClaw --skill statistical-theory-analysis -a claude-code

Project install by default; add -g for ~/.claude/skills/.

GitHub CLI
$ gh skill install aiming-lab/AutoResearchClaw statistical-theory-analysis --agent claude-code

Project scope by default; add --scope user for a personal install. Needs GitHub CLI 2.90.0 or later (public preview).

Manual copy
$ git clone --depth 1 https://github.com/aiming-lab/AutoResearchClaw.git skills-src && mkdir -p .claude/skills && cp -r skills-src/external/agents/stat_research_agent/skills/statistical-theory-analysis .claude/skills/statistical-theory-analysis && rm -rf skills-src

Use ~/.claude/skills/ instead of .claude/skills for a personal install. The folder must contain SKILL.md.

Claude Code skills documentation · loads skills from .claude/skills/

Facts

Skill name
statistical-theory-analysis
GitHub stars
15k
Token cost
~375 tokens
SKILL.md length
102 words
Files
1
Skills in repo
34
Repo updated
First seen
Licence
MIT

At a glance

Analyze theoretical properties of statistical methods under the formal formulation: identifiability, bias, variance, consistency, asymptotics, coverage, error bounds, robustness, and limitations.

  • SKILL.md covers Overview, Theory Outputs, Theorem Template and Experimental Predictions
  • Instructions only: no scripts, shell commands, URLs or credentials in SKILL.md

What it does

Statistical Theory Analysis is an agent skill from aiming-lab/AutoResearchClaw. Analyze theoretical properties of statistical methods under the formal formulation: identifiability, bias, variance, consistency, asymptotics, coverage, error bounds, robustness, and limitations.

Its SKILL.md is about 380 tokens, which your agent loads only when the skill is triggered. It is a single SKILL.md file with no bundled scripts.

The repository describes itself as: Fully autonomous & self-evolving research from idea to paper. Chat an Idea. Get a Paper. 🦞. The licence is MIT.

Example prompts

  • “/statistical-theory-analysis”

What it can do on your machine

Read from SKILL.md and the folder at commit be4ba47. It shows what the files ask for, not the result of running them.

  • Tool permissions

    Pre-approves nothing: there is no allowed-tools line, so your agent's usual permission prompts apply.

    From allowed-tools in the SKILL.md frontmatter.

  • Runs code

    No scripts in the folder and no shell commands in SKILL.md (its code samples are markdown).

    From the folder's file list and the shell code blocks in SKILL.md.

  • Network

    No URLs in SKILL.md.

    From URLs in SKILL.md, links to its own repository left out.

  • Credentials

    Names no API keys, tokens, secrets or passwords.

    From names ending in _API_KEY, _TOKEN, _SECRET, _KEY or _PASSWORD in SKILL.md.

Context cost

Statistical Theory Analysis loads about 375 tokens when it runs. Until then it costs about 56 tokens; SKILL.md has 102 words of instructions outside code blocks.

Always · name and description, kept in context so the agent knows when to use it
~56
When it runs · the whole SKILL.md, loaded when a task matches
~375

Estimates: characters ÷ 4, the usual rule of thumb; real counts depend on the model's tokenizer. Scripts and assets cost tokens only if the agent reads them.

Safety

Auto-check passed

The automated check found no risky patterns in SKILL.md.

Automated static check — not a guarantee. Review scripts before installing. It scans the text of SKILL.md for risky patterns (piping downloads into a shell, reading credential files, hidden Unicode, destructive commands); files beside SKILL.md are not scanned.

SKILL.md

The full file from aiming-lab/AutoResearchClaw at commit be4ba47, republished under its MIT licence (© aiming-lab). 102 words, ~375 tokens.

Download SKILL.mdSave it as .claude/skills/statistical-theory-analysis/SKILL.md (or your agent's skills folder).
name
statistical-theory-analysis
description
Analyze theoretical properties of statistical methods under the formal formulation: identifiability, bias, variance, consistency, asymptotics, coverage, error bounds, robustness, and limitations.
metadata.category
domain
metadata.trigger-keywords
theory,proof,consistency,asymptotic normality,bias,variance,coverage,error bound,identifiability,robustness
metadata.applicable-stages
4,5,6,7,8,9,10
metadata.priority
1

Statistical Theory Analysis

Overview

Use this skill after method proposal and before final experimental comparison. Theory is required as a stage even if the final output is a simulation paper.

Theory Outputs

Depending on the topic, provide:

  • Identifiability argument
  • Bias or variance calculation
  • Consistency statement
  • Asymptotic distribution
  • Coverage or calibration argument
  • Risk or error bound
  • Robustness analysis
  • Sensitivity or impossibility result
  • Counterexample showing failure outside assumptions

Theorem Template

markdown
## Proposition
Under assumptions A1-Ak, method M satisfies ...

## Proof Sketch
1. ...
2. ...
3. ...

## Interpretation
This predicts that ...

## Limitations
The result does not cover ...

Experimental Predictions

Every theoretical claim should produce an empirical prediction when possible:

  • Direction of metric change
  • Condition under which the method should improve
  • Stress condition under which it should fail
  • Baseline it should outperform

© aiming-lab, MIT. Rendered from Markdown: HTML in the file is shown as text, images as links, and headings moved down two levels. Raw file

Files

Just SKILL.md in external/agents/stat_research_agent/skills/statistical-theory-analysis of aiming-lab/AutoResearchClaw.

Open the folder on GitHubat commit be4ba47

Compare with similar skills

Statistical Theory Analysis next to the 5 skills that share the most tags, products or categories with it. Stars are the repository's; “used in” counts other GitHub owners with a copy.

Statistical Theory Analysis compared with similar skills
SkillStarsUsed inTokensAuto-checkLicenceRepo updated
Statistical Theory Analysis this skillaiming-lab/AutoResearchClaw15k—~375Automated safety check: PassMIT
Quant Statistical MethodsHKUDS/Vibe-Trading35k—~4kAutomated safety check: PassMIT
Statistical PowerK-Dense-AI/scientific-agent-skills48k1 repos~4.4kAutomated safety check: NotesMIT
Manuscript Statistics AuditYuan1z0825/nature-skills46k2 repos~2.1kAutomated safety check: PassApache-2.0
Statistical Analystalirezarezvani/claude-skills28k1 repos~2.5kAutomated safety check: PassMIT
CSS At Propertythedaviddias/Front-End-Checklist74k—~602Automated safety check: PassMIT

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Questions about Statistical Theory Analysis

What does Statistical Theory Analysis do?

Analyze theoretical properties of statistical methods under the formal formulation: identifiability, bias, variance, consistency, asymptotics, coverage, error bounds, robustness, and limitations. Statistical Theory Analysis is an agent skill from aiming-lab/AutoResearchClaw. Analyze theoretical properties of statistical methods under the formal formulation: identifiability, bias, variance, consistency, asymptotics, coverage, error bounds, robustness, and limitations.

How do I install Statistical Theory Analysis in Claude Code?

Run `npx skills add aiming-lab/AutoResearchClaw --skill statistical-theory-analysis -a claude-code`. Or copy the skill folder (external/agents/stat_research_agent/skills/statistical-theory-analysis in aiming-lab/AutoResearchClaw) into .claude/skills/statistical-theory-analysis in your project. Claude Code loads it when a task matches its description.

How do I install Statistical Theory Analysis in Codex?

Run `npx skills add aiming-lab/AutoResearchClaw --skill statistical-theory-analysis -a codex`. Or copy the skill folder (external/agents/stat_research_agent/skills/statistical-theory-analysis in aiming-lab/AutoResearchClaw) into .agents/skills/statistical-theory-analysis in your project. Codex loads it when a task matches its description.

Can I use Statistical Theory Analysis in Cursor, Gemini CLI or GitHub Copilot?

Cursor, Gemini CLI, GitHub Copilot and OpenCode also load SKILL.md folders. With the skills CLI, run `npx skills add aiming-lab/AutoResearchClaw --skill statistical-theory-analysis -a cursor` (or -a gemini-cli, github-copilot or opencode for the others). To copy it by hand, put the folder in .cursor/skills/statistical-theory-analysis, .gemini/skills/statistical-theory-analysis, .github/skills/statistical-theory-analysis and .opencode/skills/statistical-theory-analysis in your project.

What does Statistical Theory Analysis need to run?

SKILL.md names no scripts, command-line tools or credentials: Statistical Theory Analysis is instructions for the agent only.

Does Statistical Theory Analysis access the network?

SKILL.md contains no URLs. Any network use would come from the scripts or tools the agent runs. This is read from the text; nothing was executed.

Is Statistical Theory Analysis safe to install?

Our automated static check of SKILL.md found no risky patterns, such as piping downloads into a shell, reading credential files or hidden Unicode. It is not a guarantee. Review the folder before installing.

What licence does Statistical Theory Analysis use?

Statistical Theory Analysis is published under the MIT licence (the repository's licence). It allows redistribution, so the full SKILL.md is shown on this page.

How many tokens does Statistical Theory Analysis use?

About 375 tokens (SKILL.md is roughly 1.5k characters). Agents keep only the skill's name and description in context until a task matches; then they load SKILL.md in full.

What are the alternatives to Statistical Theory Analysis?

Skills that share tags, products or a category with Statistical Theory Analysis: Quant Statistical Methods (HKUDS/Vibe-Trading, 35k stars), Statistical Power (K-Dense-AI/scientific-agent-skills, 48k stars), Manuscript Statistics Audit (Yuan1z0825/nature-skills, 46k stars) and Statistical Analyst (alirezarezvani/claude-skills, 28k stars). The comparison table on this page puts their stars, adoption, token cost, safety result and licence side by side.

Who maintains Statistical Theory Analysis?

aiming-lab (a GitHub organization) maintains it in aiming-lab/AutoResearchClaw, which has 14,595 GitHub stars. The repository holds 34 skills in this directory. The repository was last updated on August 19, 2026.

Source: aiming-lab/AutoResearchClaw on GitHub. Facts on this page come from the repository at the commit we read; the author's words are quoted as theirs.