A limit theorem for moving averages in the \alpha -stable domain of   attraction
  In the early 1990's, Avram and Taqqu showed that regularly varying moving average processes with all coefficients nonnegative and the tail index strictly between 0 and 2 satisfy functional limit theorem. They also conjectured that an equivalent statement holds under a certain less restrictive assumption on the coefficients, but in a different topology on the space of c\'adl\'ag functions. We give a proof of this result. 
Bojan Basrak, Danijel Krizmani\'c
math.PR