statistics-fundamentals

What problem does it solve?

This Skill empowers users to apply fundamental statistical methods to financial data, enabling deeper insights into asset behavior, risk, and relationships.

Core Features & Use Cases

• Descriptive Statistics: Calculate mean, volatility, skewness, and kurtosis for return series.
• Covariance & Correlation: Estimate how assets move together, crucial for portfolio construction.
• Regression Analysis: Understand relationships between variables, like fund returns and market benchmarks (CAPM).
• Hypothesis Testing: Test statistical significance of findings, such as whether a fund's alpha is real.
• Bootstrapping: Estimate confidence intervals for statistics where analytical solutions are complex (e.g., Sharpe Ratio).
• Use Case: Analyze a portfolio's historical monthly returns to understand its average performance, risk (volatility), and how its returns correlate with a market index.

Quick Start

Calculate the mean, standard deviation, skewness, and excess kurtosis for the provided monthly return data.