Hypothesis Testing Flaws

Assumption

Hypothesis testing within cryptocurrency, options, and derivatives relies heavily on distributional assumptions, often violated by non-stationary price processes and fat-tailed return distributions. Incorrectly assuming normality, for instance, can lead to underestimation of risk and spurious statistical significance in backtests, particularly concerning volatility clustering observed in crypto assets. Furthermore, the independence assumption frequently used in time series analysis is challenged by autocorrelation and the presence of market microstructure noise, impacting the validity of p-values and confidence intervals. Consequently, robust hypothesis testing requires careful consideration of these deviations and potentially employing non-parametric methods or adjustments for serial correlation.