Statistics Fundamentals

Purpose

This skill enables Claude to apply core statistical methods to financial data, including descriptive statistics, covariance estimation, linear regression, hypothesis testing, and resampling techniques. These methods form the quantitative backbone for portfolio construction, risk measurement, and factor modeling.

Layer

0 — Mathematical Foundations

Direction

both

When to Use

• Analyzing return distributions
• Estimating correlations or covariance matrices
• Running regression analysis on financial data
• Testing hypotheses about returns
• Building factor models

Core Concepts