Weak Convergence of Finite-Dimensional Distributions of the Number of Empty Boxes in the Bernoulli Sieve

DOI10.1137/S0040585X97986904zbMath1350.60015arXiv1304.4469MaRDI QIDQ5252474

Alexander Marynych, Aleksander M. Iksanov, Vladimir A. Vatutin

Publication date: 2 June 2015

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.4469

zbMATH Keywords

Bernoulli sieveweak convergence of finite-dimensional distributions

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Processes in random environments (60K37) Functional limit theorems; invariance principles (60F17) Distribution theory (60E99)

Related Items (9)

A functional limit theorem for random processes with immigration in the case of heavy tails ⋮ Weak convergence of renewal shot noise processes in the case of slowly varying normalization ⋮ Method of moments and sums of random indicators ⋮ Moment convergence of first-passage times in renewal theory ⋮ Functional limit theorems for the maxima of perturbed random walk and divergent perpetuities in the \(M_1\)-topology ⋮ A functional limit theorem for general shot noise processes ⋮ Functional limit theorems for the number of occupied boxes in the Bernoulli sieve ⋮ Linear stochastic equations in the critical case ⋮ Gaps and interleaving of point processes in sampling from a residual allocation model

Cites Work

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