The EU budget becomes politically more explosive. CEPS Commentary, 3 December 2012

H. Onno Ruding describes the negotiations on the EU budget, which will resume in 2013 following their collapse in late November, as “more awkward than usual”. In this new CEPS Commentary, he advises EU leaders to make the instrument more forward-looking in promoting economic growth in Europe and less focused on maintaining legacy entitlements of past years. In his view, this means more spending on research, innovation, education and infrastructure and also requires further reductions in the still-dominant agricultural subsidies as well as regional and structural funds

Useful martingales for stochastic storage processes with L\'{e}vy-type input

In this paper we generalize the martingale of Kella and Whitt to the setting of L\'{e}vy-type processes and show that the (local) martingales obtained are in fact square integrable martingales which upon dividing by the time index converge to zero a.s. and in $L^2$. The reflected L\'{e}vy-type process is considered as an example.Comment: 15 pages. arXiv admin note: substantial text overlap with arXiv:1112.475