The limit behavior of an interval splitting scheme

DOI10.1016/0167-7152(86)90063-5zbMath0599.60030OpenAlexW2034185925MaRDI QIDQ1080269

Vanamamalai Seshadri, Luc P. Devroye, Gérard Letac

Publication date: 1986

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(86)90063-5

zbMATH Keywords

spacingsuniform distributionbeta distributionextremes

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Probability distributions: general theory (60E05) Strong limit theorems (60F15)

Related Items (6)

Use of moments in studies of limit distributions arising from iterated random subdivisions of an interval ⋮ On beta distributed limits of iterated linear random functions ⋮ Approximating perpetuities ⋮ Splitting intervals ⋮ Interval Partitioning Arising from Size-Biased Picking ⋮ Random motions, classes of ergodic Markov chains and beta distributions

Cites Work

• The asymptotic behavior of spacings under Kakutani's model for interval subdivision
• Laws of the iterated logarithm for order statistics of uniform spacings
• On the Distribution of the Sizes of Particles which Undergo Splitting
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