Probability Distribution Shifts

Shift

The concept of probability distribution shifts, particularly within cryptocurrency markets and derivatives, describes a non-stationary stochastic process where the underlying statistical properties of asset returns or price movements change over time. This deviation from a presumed stable distribution—often a Gaussian or Student’s t-distribution—introduces significant challenges for risk management and model calibration. Identifying and adapting to these shifts is crucial for maintaining accurate pricing models for options and other derivatives, as well as for developing robust trading strategies.