Parameter Estimation Error

Definition

Parameter estimation error occurs when the input variables used in quantitative models, such as implied volatility or drift coefficients, deviate from the unobservable true values of the underlying market process. In cryptocurrency derivatives, this discrepancy manifests as a systematic mispricing of options, as historical data often fails to capture the extreme fat-tailed distribution characteristic of digital assets. Analysts must acknowledge that static assumptions about market dynamics frequently collapse during periods of extreme liquidity stress or rapid regime shifts.