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Nonparametric Ellipsoidal Approximation of Compact Sets of Random Points

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Publication:2957715
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DOI10.1007/978-3-319-42056-1_11zbMath1354.93152OpenAlexW2523936806MaRDI QIDQ2957715

V. V. Semenov, S. I. Lyashko, Maksym P. Shlykov, Maryna V. Prysiazhna, Dmitry A. Klyushin

Publication date: 27 January 2017

Published in: Optimization and Its Applications in Control and Data Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-42056-1_11


zbMATH Keywords

extreme pointnonparametric estimationinformation setattainability setellipsoidal approximationconfidence ellipse


Mathematics Subject Classification ID

Estimation and detection in stochastic control theory (93E10) Attainable sets, reachability (93B03)




Cites Work

  • Unnamed Item
  • Multivariate ranking using elliptical peeling
  • On a notion of data depth based on random simplices
  • Descriptive statistics for multivariate distributions
  • Ellipsoidal estimation with respect to a generalized criterion
  • General notions of statistical depth function.
  • Ellipsoidal parameter or state estimation under model uncertainty
  • Estimation of Correlation Coefficients by Ellipsoidal Trimming
  • Posterior Distribution of Percentiles: Bayes' Theorem for Sampling from a Population
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