Limit theorems for the number of occupied boxes in the Bernoulli sieve

zbMath1249.60029arXiv1001.4920MaRDI QIDQ2896725

Alexander Marynych, Alexander V. Gnedin, Aleksander M. Iksanov

Publication date: 16 July 2012

Full work available at URL: https://arxiv.org/abs/1001.4920

zbMATH Keywords

renewal processperturbed random walkBernoulli sieve

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Combinatorial probability (60C05)

Related Items (13)

The collision spectrum of \(\Lambda\)-coalescents ⋮ A law of the iterated logarithm for the number of occupied boxes in the Bernoulli sieve ⋮ Stable fluctuations of iterated perturbed random walks in intermediate generations of a general branching process tree ⋮ On the number of empty boxes in the Bernoulli sieve. II. ⋮ Functional limit theorems for renewal shot noise processes with increasing response functions ⋮ From infinite urn schemes to self-similar stable processes ⋮ Functional limit theorems for the number of occupied boxes in the Bernoulli sieve ⋮ Block size in geometric(\(p\))-biased permutations ⋮ Moderate parts in regenerative compositions: the case of regular variation ⋮ On Λ-Coalescents with Dust Component ⋮ Λ-coalescents: a survey ⋮ Weak Convergence of Finite-Dimensional Distributions of the Number of Empty Boxes in the Bernoulli Sieve ⋮ Power and exponential moments of the number of visits and related quantities for perturbed random walks

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