On the number of empty boxes in the Bernoulli sieve. II.

DOI10.1016/j.spa.2012.04.010zbMath1251.60021arXiv1110.3713OpenAlexW2005085536MaRDI QIDQ432511

Aleksander M. Iksanov

Publication date: 4 July 2012

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.3713

zbMATH Keywords

convergence in distributionBernoulli sieveinfinite urn model

Mathematics Subject Classification ID

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

Related Items (6)

A Generalization of the Erdős–Turán Law for the Order of Random Permutation ⋮ Regenerative random permutations of integers ⋮ Functional limit theorems for the number of occupied boxes in the Bernoulli sieve ⋮ On the number of empty boxes in the Bernoulli sieve I ⋮ Gaps and interleaving of point processes in sampling from a residual allocation model ⋮ Weak Convergence of Finite-Dimensional Distributions of the Number of Empty Boxes in the Bernoulli Sieve

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Regenerative compositions in the case of slow variation: a renewal theory approach
• The Bernoulli sieve revisited
• Notes on the occupancy problem with infinitely many boxes: general asymptotics and power laws
• Renewal theorem in the case of an infinite variance
• Limit theorems for semi-Markov processes and renewal theory for Markov chains
• The Bernoulli sieve
• Activity rates with very heavy tails
• Stochastic-Process Limits
• Limit theorems for the number of occupied boxes in the Bernoulli sieve
• Small parts in the Bernoulli sieve
• The Bernoulli sieve: an overview
• Convergence in mean of some characteristics of the convex hull
• Fixed points of the smoothing transformation
• On the number of empty boxes in the Bernoulli sieve I
• Maxima of sums of random variables and suprema of stable processes

This page was built for publication: On the number of empty boxes in the Bernoulli sieve. II.