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A characterization of the asymptotic normality of linear combinations of order statistics from the uniform distribution

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Publication:1233273
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DOI10.1214/aos/1176343656zbMath0345.62033OpenAlexW2053456486MaRDI QIDQ1233273

Hartmut Hecker

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1214/aos/1176343656



Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30)


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Necessary and sufficient conditions for asymptotic normality of trimmed L-statistics ⋮ On functionals of order statistics ⋮ A distribution free goodness of fit test for a stochastically ordered alternative ⋮ Asymptotic spacings theory with applications to the two-sample problem ⋮ EDF and EQf orthogonal component decompositions and tests of uniformity ⋮ The exact and approximate distributions of linear combinations of selected order statistics from a uniform distribution



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