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20022009
most citedOn Hoeffding's inequalities

125 citations

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math.PR2009★ 44 cited

Relative frequencies in multitype branching processes

Andrei Y. Yakovlev, Nikolay M. Yanev

This paper considers the relative frequencies of distinct types of individuals in multitype branching processes. We prove that the frequencies are asymptotically multivariate norma…

math.PR2007

Survival Probabilities for N-ary Subtrees on a Galton-Watson Family Tree

Ljuben Mutafchiev

The family tree of a Galton-Watson branching process may contain N-ary subtrees, i.e. subtrees whose vertices have at least N>0 children. For family trees without infinite N-ary su…

math.PR2007★ 1 cited

Representation Theorems for Quadratic -Consistent Nonlinear Expectations

Ying Hu, Jin Ma, Shige Peng +1

In this paper we extend the notion of ``filtration-consistent nonlinear expectation" (or "-consistent nonlinear expectation") to the case when it is allowed to be dominat…

math.PR2005

Poisson kernels of half-spaces in real hyperbolic spaces

T. Byczkowski, P. Graczyk, A. Stos

We provide an integral formula for the Poisson kernel of half-spaces for Brownian motion in real hyperbolic space $\H^n$. This enables us to find asymptotic properties of the kerne…

math.PR2004★ 125 cited

On Hoeffding's inequalities

Vidmantas Bentkus

In a celebrated work by Hoeffding [J. Amer. Statist. Assoc. 58 (1963) 13-30], several inequalities for tail probabilities of sums M_n=X_1+... +X_n of bounded independent random var…

math.PR2004★ 72 cited

Coalescence in a random background

N. H. Barton, A. M. Etheridge, A. K. Sturm

We consider a single genetic locus which carries two alleles, labelled P and Q. This locus experiences selection and mutation. It is linked to a second neutral locus with recombina…