In this paper we investigate VIX dynamics through a two-factor Gaussian model, following Avellaneda and Papanicolaou (2019). Two strategies were adopted. First, we considered constant market price of risk. Second, we included time-varying market price of risk. In both cases, we estimated the...

Accurate forecasting of solar PV generation is critical for integrating renewable energy into power systems. This paper presents a multivariate probabilistic forecasting model that addresses the challenges posed by imbalanced data resulting from day and night-time periods in solar photovoltaic...

We consider two random vectors X and Y, such that the components of X are dominated in the convex order by the corresponding components of Y. We want to find conditions under which this implies that any positive linear combination of the components of X is dominated in the convex order by the...

Stochastic Weather Generators (SWGs) try to replicate the stochastic patterns of climatological variables characterized by high dimensionality, non-normal probability density functions and non-linear dependence relationships. However, conventional SWGs usually typify weather variables with not...