On approximating the distribution of quadratic forms in uniform and beta order statistics

DOI10.1007/S40300-013-0014-ZzbMath1302.62038OpenAlexW2070462848MaRDI QIDQ478481

A. Akbar Mohsenipour, Serge B. Provost

Publication date: 3 December 2014

Published in: Metron (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40300-013-0014-z

zbMATH Keywords

momentsorder statisticsquadratic formsgoodness-of-fit statisticsuniform random variablesbeta random variables

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Approximations to statistical distributions (nonasymptotic) (62E17)

Cites Work

• Unnamed Item
• On the asymptotic distribution of quadratic forms in uniform order statistics
• On the asymptotic distribution of k-spacings with applications to goodness-of-fit tests
• Large sample theory for U-statistics and tests of fit
• An optimal statistic based on higher order gaps
• On the logarithms of high-order spacings
• Quadratic forms in order statistics used as goodness-of-fit criteria

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