This paper reviews a class of multifractal models obtained via products of exponential Ornstein-Uhlenbeck processes driven by L«evy motion. Given a self-decomposable distribution, conditions for constructiong multifractal scenarios and general formulas for their Renyi functions are provided....

Continuous non-Gaussian stationary processes of the OU-type are becoming increasingly popular given their flexibility in modelling stylized features of financial series such as asymmetry, heavy tails and jumps. The use of non-Gaussian marginal distributions makes likelihood analysis of these...

Continuous-time stochastic volatility models are becoming increasingly popular in finance because of their flexibility in accommodating most stylized facts of financial time series. However, their estimation is difficult because the likelihood function does not have a closed-form expression. In...