Probabilistic Analysis Toolkit

SkillDev tools

Analyze randomized algorithms with probability theory tools and concentration inequalities

Instructions available. Your AI can read the instructions. Execution depends on the setup they require.

Add ahel to your AI once: Claude, ChatGPT, Cursor, Claude Code or Codex. Then ask it to use this.

Then ask your AI: use the Probabilistic Analysis Toolkit skill

What this skill tells your AI

The instructions your AI receives, as published by a5c-ai/babysitter in library/specializations/domains/science/computer-science/skills/probabilistic-analysis-toolkit/SKILL.md and read by ahel’s review.

Purpose

Provides expert guidance on analyzing randomized algorithms using probability theory and concentration inequalities.

Capabilities

  • Expected value calculations
  • Chernoff and Hoeffding bound applications
  • Markov and Chebyshev inequality analysis
  • Moment generating function analysis
  • Concentration inequality selection
  • Las Vegas and Monte Carlo analysis

Usage Guidelines

  1. Random Variable Identification: Define relevant random variables
  2. Expectation Computation: Calculate expected values
  3. Concentration Selection: Choose appropriate bounds
  4. Bound Application: Apply concentration inequalities
  5. Result Interpretation: Interpret probabilistic guarantees

Tools/Libraries

  • Symbolic probability
  • Statistical libraries
  • SymPy

Signals

GitHub stars
2k
Forks
112
Last commit
Sep 2026
Advanced
Item type
skill
Key
probabilistic-analysis-toolkit
Source
github.com/a5c-ai/babysitter