statistics-fundamentals

Apply statistical methods to financial data using numpy and scipy.

164|33|Updated Feb 15, 2026
One-click install
npx skills add https://github.com/JoelLewis/finance_skills --skill statistics-fundamentals
Or copy as Structured Prompt for Agent
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Skill: statistics-fundamentals
Source: https://github.com/JoelLewis/finance_skills/tree/main/plugins/core/skills/statistics-fundamentals
Command: npx skills add https://github.com/JoelLewis/finance_skills --skill statistics-fundamentals

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill requires numpy, scipy, and includes scripts (resource) and references (resource) components.

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.

Frequently Asked Questions about statistics-fundamentals

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I calculate volatility, skewness, and kurtosis for financial return data?

Calculating volatility, skewness, and kurtosis for financial return data requires applying descriptive statistics to your return series. This yields metrics detailing average performance and distribution shape.

Can I run CAPM regression and test alpha significance using numpy and scipy?

You can run CAPM regression and test alpha significance using numpy and scipy. The Skill applies regression analysis to benchmark returns and hypothesis testing to evaluate the statistical significance of findings.

What is the best way to estimate covariance and correlation matrices for portfolio construction?

The best way to estimate covariance and correlation matrices for portfolio construction is through statistical covariance estimation. This calculates how assets move together, providing foundational data for diversification analysis.

How do I bootstrap confidence intervals for a Sharpe ratio calculation?

Bootstrapping confidence intervals for a Sharpe ratio calculation involves resampling your financial data. This technique estimates confidence intervals for statistics where analytical formulas are complex.

Do I need Python and specific libraries to analyze asset return distributions?

Analyzing asset return distributions requires Python and specific libraries like numpy and scipy. These dependencies handle the underlying mathematical calculations for hypothesis testing and regression analysis.