A functional limit theorem for nested Karlin's occupancy scheme generated by discrete Weibull-like distributions

DOI10.1016/j.jmaa.2021.125798zbMath1479.60028arXiv2104.06948OpenAlexW3211626325MaRDI QIDQ2059958

Aleksander M. Iksanov, Zakhar Kabluchko, Valeriya Kotelnikova

Publication date: 13 December 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.06948

zbMATH Keywords

random environmentstationary Gaussian processfunctional limit theoreminfinite occupancynested hierarchyde Haan's class \(\Pi\)

Mathematics Subject Classification ID

Gaussian processes (60G15) Probability distributions: general theory (60E05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Functional limit theorems; invariance principles (60F17) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (2)

Unnamed Item ⋮ Small counts in nested Karlin's occupancy scheme generated by discrete Weibull-like distributions

Cites Work

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• From infinite urn schemes to decompositions of self-similar Gaussian processes
• Functional central limit theorems for certain statistics in an infinite urn scheme
• On nested infinite occupancy scheme in random environment
• Asymptotic regimes for the occupancy scheme of multiplicative cascades
• Notes on the occupancy problem with infinitely many boxes: general asymptotics and power laws
• On the variance of the number of occupied boxes
• Small counts in the infinite occupancy scheme
• Central limit theorems for infinite urn models
• From infinite urn schemes to self-similar stable processes
• On intermediate levels of nested occupancy scheme in random environment generated by stick-breaking I
• Local limit theorems for finite and infinite urn models
• A phase transition for the heights of a fragmentation tree
• Stopped Random Walks
• Asymptotics of the occupancy scheme in a random environment and its applications to tries
• Probability

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