Central Limit Theorem
Meaning ⎊ A statistical principle explaining why the sum of many random variables tends toward a normal distribution.
Gaussian Distribution
Meaning ⎊ A theoretical bell curve distribution that fails to accurately capture the frequent extreme price shocks in crypto markets.
Matrix Inversion Risks
Meaning ⎊ The risk of numerical instability and error when calculating the inverse of a matrix, common in portfolio optimization.
Non-Parametric Modeling
Meaning ⎊ Statistical techniques that make few assumptions about the underlying distribution of the data.
Variance-Covariance Matrix
Meaning ⎊ A square matrix that represents the variance of individual assets and the covariance between all pairs of assets.
Out of Sample Testing
Meaning ⎊ Validating a trading model on data not used during development to ensure it generalizes well to unseen market conditions.
Overfitting and Data Snooping
Meaning ⎊ The danger of creating models that perform well on historical data by capturing noise instead of true market patterns.
GARCH Modeling Techniques
Meaning ⎊ GARCH Modeling Techniques provide the essential quantitative framework for predicting volatility and calibrating risk within digital asset derivatives.
Monte Carlo Methods
Meaning ⎊ A computational technique using repeated random sampling to model complex financial outcomes and estimate portfolio risk.
Historical Volatility Clustering
Meaning ⎊ The tendency for market volatility to group into consecutive periods of high or low price movement intensity over time.
Confidence Interval Reporting
Meaning ⎊ A statistical range estimating where a financial asset price will likely reside based on a defined probability level.
Autoregressive Conditional Heteroskedasticity
Meaning ⎊ A statistical model accounting for non-constant variance in time series data, where past variance predicts future variance.
Confidence Intervals
Meaning ⎊ A statistical range representing the uncertainty of an estimate, indicating where a true value likely falls.
Sample Bias
Meaning ⎊ A statistical error where the data used for analysis is not representative of the actual market environment.
Structural Breaks
Meaning ⎊ An unexpected and permanent shift in market dynamics that makes historical data and existing models potentially invalid.
Look-Ahead Bias
Meaning ⎊ A simulation error where a model uses future data to inform past decisions, resulting in impossible profit expectations.
Market Impact Functions
Meaning ⎊ Mathematical formulas predicting the price change induced by executing a specific trade volume in the open market.
Feature Selection
Meaning ⎊ The practice of identifying and keeping only the most relevant and impactful variables to improve model performance.
Principal Component Analysis
Meaning ⎊ A technique to reduce data dimensionality by transforming correlated variables into a few key, uncorrelated components.
Elastic Net Regularization
Meaning ⎊ A hybrid regularization method combining L1 and L2 penalties to achieve both feature selection and model stability.
L2 Ridge Penalty
Meaning ⎊ A regularization technique that penalizes squared coefficient size to keep them small, enhancing stability in noisy data.
L1 Lasso Penalty
Meaning ⎊ A regularization technique that penalizes absolute coefficient size, forcing some to zero for automatic feature selection.
