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.