Use of moments in studies of limit distributions arising from iterated random subdivisions of an interval

DOI10.1016/0167-7152(94)00155-2zbMath0830.62020OpenAlexW2006980316MaRDI QIDQ1897070

Samuel Kotz, Norman L. Johnson

Publication date: 9 November 1995

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

Full work available at URL: https://doi.org/10.1016/0167-7152(94)00155-2

zbMATH Keywords

momentsrecurrence relationslimit distributionsbeta distributionsuniform distributionsdistributions of limit pointsiterated random subdivision of finite intervals

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Exact distribution theory in statistics (62E15) Approximations to statistical distributions (nonasymptotic) (62E17) Probabilistic methods, stochastic differential equations (65C99)

Related Items (4)

On beta distributed limits of iterated linear random functions ⋮ On random splitting of the interval. ⋮ Convergence in a Multidimensional Randomized Keynesian Beauty Contest ⋮ Interval Partitioning Arising from Size-Biased Picking

Cites Work

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• Limiting distributions of two random sequences
• The limit behavior of an interval splitting scheme
• A proof of Kakutani's conjecture on random subdivision of longest intervals
• Products of 2 × 2 stochastic matrices with random entries
• A note on stochastic search methods for global optimization
• Splitting intervals

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