Adaptive filtering in electricity spot price models

We study the adaptive filtering for risk premium and system parameters in electricity futures modes. Introducing the jump augmented Vasicek model as the spot price mode, the factor model of the electricity futures is constructed as the stochastic hyperbolic systems with jumps. Representing the main spike phenomena of the electricity spot price from one observed futures data by proxy, the filtering of the stochastic risk premium and its system parameters are developed in a Gaussian framework. By using the parallel filtering algorithm, the online system parameter estimation procedure is proposed.