A quantile domain perspective on the relationships between optimal grouping, spacing and stratification problems

DOI10.1016/0167-7152(82)90018-9zbMath0495.62044OpenAlexW2017536757MaRDI QIDQ1169775

S. Singh

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0167-7152(82)90018-9

zbMATH Keywords

approximationquantile functionasymptotically best linear unbiased estimatoroptimal spacingoptimal groupingoptimal stratificationdensity- quantile function

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Statistical distribution theory (62E99)

Related Items

Hypothesis testing of the location and scale parameters using order statistics

Cites Work

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• Piecewise polynomial approximation on optimal meshes
• Uniqueness and eventual uniqueness of optimal designs in some time series models
• A note on the optimum spacing of sample quantiles from the six extreme value distributions
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• Relations between stratified, grouped and selected order statistics samples
• Asymptotic properties of best 𝐿₂[0,1 approximation by splines with variable knots]