On Random Fragmentations Arising From Binary Splitting

DOI10.1080/15326340500294652zbMath1083.60041OpenAlexW1989903723MaRDI QIDQ5711160

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Publication date: 9 December 2005

Published in: Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15326340500294652

zbMATH Keywords

samplingfragmentation modelrandom binary prtitions

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Exact distribution theory in statistics (62E15) Special processes (60K99) Approximations to statistical distributions (nonasymptotic) (62E17) Random measures (60G57)

Cites Work

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• Splitting intervals. II: Limit laws for lengths
• Partition structures, Polya urns, the Ewens sampling formula, and the ages of alleles
• Random sequential bisection and its associated binary tree
• Uniform convergence of martingales in the branching random walk
• Wavelet analysis of conservative cascades
• Survival of discrete time growth models, with applications to oriented percolation
• The sampling theory of selectively neutral alleles
• Martingale convergence in the branching random walk
• Stable distributions in stochastic fragmentation
• Phase transition in a random fragmentation problem with applications to computer science
• Independent random cascades on Galton-Watson trees

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