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

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Publication:1744029
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DOI10.1007/s00184-018-0643-6zbMath1412.62056OpenAlexW2792469125MaRDI QIDQ1744029

Magdalena Alama-Bućko, Alexander Yu. Zeigraev

Publication date: 16 April 2018

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: http://elib.bsu.by/handle/123456789/158363

zbMATH Keywords

order statisticsoptimal confidence regionsL-statistics


Mathematics Subject Classification ID

Nonparametric tolerance and confidence regions (62G15) Order statistics; empirical distribution functions (62G30)




Cites Work

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  • On optimal choice of order statistics in large samples for the construction of confidence regions for the location and scale
  • Asymptotics of the optimal confidence region for shift and scale, based on two order 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
  • On Some Useful "Inefficient" Statistics
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