We prove that the Moderate Deviation Principle (MDP) holds for the trajectory of a locally square integrable martingale with bounded jumps as soon as its quadratic covariation, properly scaled, converges in probability at an exponential rate. A consequence of this MDP is the tightness of the method of bounded martingale differences in the regime of moderate deviations.

although current guidelines place single leukotriene receptor antagonists use as a therapeutic option in mild persistent asthma, there is still uncertainty about its place. in this study efficiency of montelukast monotherapy in children with moderate persistent asthma was evaluated. children (age 6 to 16) with persistent moderate asthma were treated prospectively with budesonide combined with m...

We present precise moderate deviation probabilities, in both quenched and annealed settings, for a recurrent diffusion process with a Brownian potential. Our method relies on fine tools in stochastic calculus, including Kotani’s lemma and Lamperti’s representation for exponential functionals. In particular, our result for quenched moderate deviations is in agreement with a recent theorem of Com...

nostic category, and the corresponding Pneg values were all very high: 25 of 28 of them were 0.87 or greater, indicating high negative agreement. The present study is the first reliability study conducted on the Italian version of the MINI. The average duration of the interview, 27 minutes in the interrater and 21 minutes in the retest, was relatively short. Since most of the patients have a ps...