Extrema of the Generalized Allocation Scheme Based on an $m$-Dependent Sequence

DOI10.1137/S0040585X97T990927OpenAlexW4289794112MaRDI QIDQ5097176

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Publication date: 22 August 2022

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

Full work available at URL: https://doi.org/10.1137/s0040585x97t990927

zbMATH Keywords

limit theoremsextremageneralized allocation scheme\(m\)-dependent random variables

Mathematics Subject Classification ID

Statistics (62-XX) Probability theory and stochastic processes (60-XX)

Cites Work

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• A central limit theorem for \(m\)-dependent random variables
• Limiting Distributions in Some Occupancy Problems
• On asymptotic expansions in local limit theorems for equiprobable schemes of allocating particles to distinguishable cells
• On the distribution of the number of cycles of a given length in the class of permutations with known number of cycles
• An analogue of the generalised allocation scheme: limit theorems for the number of cells containing a given number of particles
• An analogue of the generalised allocation scheme: limit theorems for the maximum cell load
• The conditional maximum of Poisson random variables
• Asymptotic Extremes for $m$-Dependent Random Variables

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