copulas-dependence-modeling

Models multivariate dependence with Gaussian, t, and Archimedean copulas for scenario generation.

Updated Feb 10, 2026
One-click install
npx skills add https://github.com/GhostOf0days/codex-quant-skills --skill copulas-dependence-modeling
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: copulas-dependence-modeling
Source: https://github.com/GhostOf0days/codex-quant-skills/tree/main/copulas-dependence-modeling
Command: npx skills add https://github.com/GhostOf0days/codex-quant-skills --skill copulas-dependence-modeling

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill includes scripts (resource) and references (resource) components.

What problem does it solve?

This Skill addresses the limitations of linear correlation by modeling complex, non-linear dependencies between financial assets using copulas, enabling more accurate risk assessment and scenario generation.

Core Features & Use Cases

  • Copula Fitting: Calibrate various copula families (Gaussian, t, Archimedean) to observed data.
  • Scenario Generation: Create dependence-preserving scenarios for stress testing and risk aggregation.
  • Tail-Dependence Estimation: Quantify extreme joint movements beyond simple correlation.
  • Use Case: When assessing portfolio risk under market stress, this Skill can generate realistic joint extreme scenarios for multiple assets, going beyond what linear models can capture.

Quick Start

Use the copulas-dependence-modeling skill to fit candidate copula families to the provided data and generate dependence-preserving scenarios.

Frequently Asked Questions about copulas-dependence-modeling

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

FAQPage Schema
How do I model tail dependence in financial assets beyond linear correlation?

Model cross-asset dependence by calibrating Gaussian, t, or Archimedean copulas to your data. This captures non-linear dependencies and extreme joint movements that linear correlation misses, enabling accurate multivariate tail-dependence estimation for portfolio risk aggregation.

When do I need copula-based scenario generation for portfolio risk management?

You need copula-based scenario generation when assessing portfolio risk under market stress. It creates dependence-preserving stress paths for risk aggregation that validate against extreme joint moves, going beyond what standard linear models can capture.

How do I fit Archimedean and t copulas for multivariate risk aggregation?

Fit candidate copula families by applying rank-consistent preprocessing to your data, then compare likelihood and tail metrics. This calibration validates the chosen copula family for production dependence-risk controls and multivariate risk aggregation.

Does copula fitting require rank-consistent preprocessing for stress-path generation?

Yes, rank-consistent preprocessing is required before fitting Gaussian, t, or Archimedean copulas. This preparatory step ensures accurate calibration and validates dependence-preserving scenarios against extreme joint moves for stress-path generation.

Why does linear correlation fail to capture extreme joint moves in financial modeling?

Linear correlation fails because it cannot model non-linear dependencies or tail dependence. Copulas solve this limitation by quantifying extreme joint movements, enabling realistic stress-path generation and accurate portfolio risk aggregation under market stress.