scientific article

zbMath0449.60016MaRDI QIDQ3896297

Jean-Claude Lootgieter

Publication date: 1981

Full work available at URL: http://www.numdam.org/item?id=AIHPB_1981__17_1_97_0

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zbMATH Keywords

conjecture of L. E. Dubinsrandom sequence of subdivisions of the unit interval

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Central limit and other weak theorems (60F05)

Related Items (3)

Length laws for random subdivision of longest intervals ⋮ Splitting intervals. II: Limit laws for lengths ⋮ Recursive splitting of an interval when the proportions are identical and independent random variables

Cites Work

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• Convergence of the age distribution in the one-dimensional supercritical age-dependent branching process
• A proof of Kakutani's conjecture on random subdivision of longest intervals
• Renewal theory and the almost sure convergence of branching processes
• Convergence of general branching processes and functionals thereof
• Uniform distribution of Kakutani's interval splitting procedure
• A singular random measure generated by splitting [0, 1]

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