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Bayesian estimation, simulation, and sequential analysis — a foundational experiment for building probabilistic thinking in quantitative modeling.

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Biased Coin Toss

This project is a hands-on exploration of a classic probability scenario: analyzing a biased coin flip. Beyond its simplicity, this exercise demonstrates key statistical tools that build a foundation for more advanced quantitative analysis and decision-making under uncertainty.

📂 Files

  • Biased Coin Toss.ipynb — Interactive Jupyter Notebook with complete code, explanations, and visualizations.
  • README.md — This overview.

📊 Concepts Covered

Through this notebook, I practice and demonstrate:

✅ Simulating biased coin flips
✅ Applying Bayesian inference to update beliefs in real-time
✅ Constructing credible intervals
✅ Using Monte Carlo simulation for uncertainty estimation
✅ Implementing sequential analysis for evidence-based stopping rules

These techniques reflect core skills in probabilistic modeling, which are directly relevant in areas such as quantitative trading, algorithmic decision systems, and real-time risk management.

⚙️ Requirements

  • Python
  • Jupyter Notebook
  • Python libraries:
    • numpy
    • scipy
    • matplotlib
    • seaborn

Install dependencies easily:

pip install numpy scipy matplotlib seaborn

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Bayesian estimation, simulation, and sequential analysis — a foundational experiment for building probabilistic thinking in quantitative modeling.

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