The Bernoulli sieve revisited
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Publication:835075
DOI10.1214/08-AAP592zbMath1178.60019arXiv0801.4725OpenAlexW3100298211MaRDI QIDQ835075
Pavlo Negadajlov, Aleksander M. Iksanov, Uwe Roesler, Alexander V. Gnedin
Publication date: 27 August 2009
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0801.4725
Central limit and other weak theorems (60F05) Combinatorial probability (60C05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Renewal theory (60K05)
Related Items (12)
A Generalization of the Erdős–Turán Law for the Order of Random Permutation ⋮ Moment convergence of first-passage times in renewal theory ⋮ On the number of empty boxes in the Bernoulli sieve. II. ⋮ Renewal sequences and record chains related to multiple zeta sums ⋮ Functional limit theorems for the number of occupied boxes in the Bernoulli sieve ⋮ Block size in geometric(\(p\))-biased permutations ⋮ On the number of empty boxes in the Bernoulli sieve I ⋮ Zeros of random tropical polynomials, random polygons and stick-breaking ⋮ Stochastic approximations to the Pitman-Yor process ⋮ Asymptotic behavior of the number of distinct values in a sample from the geometric stick-breaking process ⋮ 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
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