In many different contexts, decision-making is improved by the availability of probabilistic predictions. The accuracy forecasting methods can be compared using scoring functions and insight provided calibration tests. These tests evaluate consistency predictions with observations. Our main agenda in this paper interval forecasts their evaluation. Such are usually bounded two quantile forecasts...

for any reduced commutative $f$-ring with identity and bounded inversion, we show that a condition which is obviously necessary for the socle of the ring to coincide with the socle of its bounded part, is actually also sufficient. the condition is that every minimal ideal of the ring consist entirely of bounded elements. it is not too stringent, and is satisfied, for instance, by rings of conti...

A (bounded) manifold of circular type is a complex manifold M of dimension n admitting a (bounded) exhaustive real function u, defined on M minus a point xo, so that: a) it is a smooth solution on M \{xo} to the MongeAmpère equation (ddcu)n = 0; b) xo is a singular point for u of logarithmic type and eu extends smoothly on the blow up of M at xo; c) ddc(eu) > 0 at any point of M \ {xo}. This cl...

In this paper, we give a necessary and sufficient condition to perform a good normal approximation for the Monte Carlo evaluation of highly reliable Markovian systems. We have recourse to simulation because of the frequent huge state space in practical systems. Literature has focused on the property of bounded relative error. In the same way, we can focus on bounded normal approximation. We see...

Large knowledge bases such as YAGO [SKW07] or DBpedia [BLK+09] can be used to answer queries in various domains. However, as they are automatically harvested from Web sources, they may be incomplete: important facts may be missing because they were not materialized in the original sources, or could not be extracted correctly. To mitigate this problem, approaches such as association rule mining ...