Rockets and feathers meet Joseph: Reinvestigating the oil-gasoline   asymmetry on the international markets
  We reinvestigate the "rockets and feathers" effect between retail gasoline and crude oil prices in a new framework of fractional integration, long-term memory and borderline (non-)stationarity. The most frequently used error-correction model is examined in detail and we find that the prices return to their equilibrium value much more slowly than would be typical for the error-correction model. Such dynamics is usually referred to as "the Joseph effect". The standard procedure is shown to be troublesome and we introduce three new tests to investigate possible asymmetry in the price adjustment to equilibrium under these complicated time series characteristics. On the dataset of seven national gasoline prices, we report that apart from Belgium, there is no asymmetry found. The proposed methodology is not limited to the gasoline and crude oil case but it can be utilized for any asymmetric adjustment to equilibrium analysis. 
Ladislav Kristoufek and Petra Lunackova
q-fin.ST