Markov chain theory is proving to be a powerful approach to bootstrap highly nonlinear time series. In this work we provide a method to estimate the memory of a Markov chain (i.e. its order) and to identify its relevant states. In particular the choice of memory lags and the aggregation of...

Bootstrapping time series is one of the most acknowledged tools to make forecasts and study the statistical properties of an evolutive phenomenon. The idea underlying this procedure is to replicate the phenomenon on the basis of an observed sample. One of the most important classes of bootstrap...

 <font size="1">While the large portion of the literature on Markov chain (possibly of orderhigher than one) bootstrap methods has focused on the correct estimation ofthe transition probabilities, little or no attention has been devoted to theproblem of estimating the dimension of the transition probability...</font>

Due to recent technical progress, battery energy storages are becoming a viable option in the power sector. Their optimal operational management focuses on load shift and shaving of price spikes. However, this requires optimally responding to electricity demand, intermittent generation, and...

We investigate the combined effect of an Emission Trading System (ETS) and renewable energy sources on electricity generation investment in energy-only markets. We propose a simple representation of the capacity expansion decision between fossil fuel and renewable production, where electricity...

Due to recent technical progress, battery energy storages are becoming a viable option in the power sector. Their optimal operational management focuses on load shift and shaving of price spikes. However, this requires optimally responding to electricity demand, intermittent generation, and...

According to theoretical arguments, a properly designed emission trading system should help reaching pollution reduction at low social burden. Based on the theoretical work of environmental economists, cap-and-trade systems are put into operations all over the world. However, the practice from...