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20022011
most citedFast learning rates for plug-in classifiers

332 citations

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10 papers · 2 filters

math.PR2011

An Application of Renewal Theorems to Exponential Moments of Local Times

Leif Doering, Mladen Savov

In this note we explain two transitions known for moment generating functions of local times by means of properties of the renewal measure of a related renewal equation. The argume…

math.PR2011

(Non)Differentiability and Asymptotics for Potential Densities of Subordinators

Leif Doering, Mladen Savov

For subordinators with positive drift we extend recent results on the structure of the potential measures and the renewal densities. Applying Fourier analysis a new representation…

math.PR2011★ 2 cited

Statistical methods of SNP data analysis with applications

Alexander Bulinski, Oleg Butkovsky, Alexey Shashkin +1

Various statistical methods important for genetic analysis are considered and developed. Namely, we concentrate on the multifactor dimensionality reduction, logic regression, rando…

math.PR2011★ 2 cited

Perturbations of diagonal matrices by band random matrices

Florent Benaych-Georges, Nathanaël Enriquez

We exhibit an explicit formula for the spectral density of a (large) random matrix which is a diagonal matrix whose spectral density converges, perturbated by the addition of a sym…

math.PR2011

Functional limit theorems for Lévy processes satisfying Cramér's condition

Matyas Barczy, Jean Bertoin

We consider a Lévy process that starts from and conditioned on having a positive maximum. When Cramér's condition holds, we provide two weak limit theorems as …

math.PR2011

On the Newman Conjecture

Alexander Bulinski

We consider a random field, defined on an integer-valued d-dimensional lattice, with covariance function satisfying a condition more general than summability. Such condition appear…