Length laws for random subdivision of longest intervals

DOI10.1016/0304-4149(86)90110-9zbMath0603.60010OpenAlexW1985387083MaRDI QIDQ1082707

Michael D. Brennan

Publication date: 1986

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(86)90110-9

zbMATH Keywords

empirical distribution functionstationary renewal processKakutani-splitting of an intervalrandom subdivisionsplitting process

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Limit theorems in probability theory (60F99) Renewal theory (60K05)

Related Items

Splitting intervals. II: Limit laws for lengths, Additional aspects of the non-conservative Kolmogorov-Filippov fragmentation model

Cites Work

• The asymptotic behavior of spacings under Kakutani's model for interval subdivision
• A refinement of the coupling method in renewal theory
• A proof of Kakutani's conjecture on random subdivision of longest intervals
• On a stochastic difference equation and a representation of non–negative infinitely divisible random variables
• The Stochastic Convergence of a Function of Sample Successive Differences
• Splitting intervals
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