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advanced-math-trading/foundations-core

Probability, moments/tails, Bayes, and statistical learning foundations for systematic trading.

SKILL.md

Full skill instructions

What this covers

  • Probability spaces, random variables, moments, tail risk, Bayes updates.
  • Core statistical learning basics and regularization.

Navigation (load on demand)

  • docs/​knowledge-base/​domains/​foundations/​advanced-mathematics/​Algorithmic Foundations for Systematic Trading.md — probability, moments, tail risk, Bayes code.
  • docs/​knowledge-base/​domains/​foundations/​advanced-mathematics/​statistical-foundations.md — stats core.
  • docs/​knowledge-base/​domains/​foundations/​advanced-mathematics/​probability-and-stochastic-processes.md — probability + processes overview.
  • docs/​knowledge-base/​domains/​foundations/​advanced-mathematics/​probability-spaces-and-random-variables.md — formal definitions.
  • docs/​knowledge-base/​domains/​foundations/​advanced-mathematics/​statistical-learning.md — learning basics.
  • docs/​knowledge-base/​domains/​foundations/​advanced-mathematics/​regularization-methods.md — regularization patterns.

Quick workflows

  • Tail metrics: lift VaR/​ES/​Hill estimators from Algorithmic Foundations.
  • Bayesian updates: use conditional-probability code for regime/​parameter updates.
  • When in doubt, start with Algorithmic Foundations then pull topic-specific MDs above.

Notes

  • Load only the files needed; avoid bulk-loading the whole directory.

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