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The asymptotic behavior of spacings under Kakutani's model for interval subdivision

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Publication:1136151
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DOI10.1214/aop/1176994832zbMath0426.60031OpenAlexW1969903084MaRDI QIDQ1136151

Ronald Pyke

Publication date: 1980

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176994832


zbMATH Keywords

spacingsnormalized spacingsempirical distributionGlivenko-Cantelli theoremKakutani model


Mathematics Subject Classification ID

Strong limit theorems (60F15) Special processes (60K99)


Related Items

The limit behavior of an interval splitting scheme ⋮ Length laws for random subdivision of longest intervals ⋮ Weak convergence results for the Kakutani interval splitting procedure. ⋮ Splitting intervals. II: Limit laws for lengths ⋮ Random sequential bisection and its associated binary tree ⋮ The favorite point of a Poisson process ⋮ Choices and intervals ⋮ The power of online thinning in reducing discrepancy ⋮ Linear estimation of location and scale parameters using partial maxima ⋮ Symmetric Gibbs measures ⋮ On an interval splitting problem ⋮ Probabilistic analysis of maximal gap and total accumulated length in interval division ⋮ Limiting distributions of two random sequences



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