Moderate deviations for functional U-processes
Moderate deviations for I.I.D. random variables
We derive necessary and sufficient conditions for a sum of i.i.d. random variables – where , but – to satisfy a moderate deviations principle. Moreover we show that this equivalence is a typical moderate deviations phenomenon. It is not true in a large deviations regime.
Large deviations of U-empirical measures in strong topologies and applications
Process level moderate deviations for stabilizing functionals
Functionals of spatial point process often satisfy a weak spatial dependence condition known as . In this paper we prove process level moderate deviation principles (MDP) for such functionals, which is a level-3 result for empirical point fields as well as a level-2 result for empirical point measures. The level-3 rate function coincides with the so-called specific information. We show that the general result can be applied to prove MDPs for various particular functionals, including random sequential...
Moderate Deviations for I.I.D. Random Variables
We derive necessary and sufficient conditions for a sum of i.i.d. random variables – where , but – to satisfy a moderate deviations principle. Moreover we show that this equivalence is a typical moderate deviations phenomenon. It is not true in a large deviations regime.
Ordered random walks.
Moderate deviations in a random graph and for the spectrum of Bernoulli random matrices.
Moderate deviations for traces of words in a mult-matrix model.
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