On optimal choice of order statistics in large samples for the construction of confidence regions for the location and scale

DOI10.1007/S00184-012-0405-9zbMath1353.62031OpenAlexW2106834959MaRDI QIDQ353328

Magdalena Alama-Bućko, Alexander Yu. Zeigraev

Publication date: 12 July 2013

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10.1007/s00184-012-0405-9

zbMATH Keywords

order statisticslocation-scale populationoptimal confidence regionspivot

Mathematics Subject Classification ID

Parametric tolerance and confidence regions (62F25) Order statistics; empirical distribution functions (62G30)

Related Items (1)

Optimal choice of order statistics under confidence region estimation in case of large samples

Cites Work

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• Approximate distributions of order statistics. With applications to nonparametric statistics
• Generalized quantile processes
• Optimal spacing of the selected sample quantiles for the joint estimation of the location and scale parameters of a symmetric distribution
• Asymptotic analysis of minimum volume confidence regions for location-scale families
• Order Statistics
• Confidence regions of minimal area for the scale-location parameter and their applications

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