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Isotonic M-estimation of location: Union-intersection principle and preliminary test versions

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Publication:1105941
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DOI10.1016/0047-259X(88)90132-7zbMath0649.62033MaRDI QIDQ1105941

Pranab Kumar Sen, Azza R. Karmous

Publication date: 1988

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)


zbMATH Keywords

ordered alternativesM-estimation of locationM-testorthant alternativespreliminary test estimator. isotonic estimators of locationsunion-intersection (UI-) principle


Mathematics Subject Classification ID

Nonparametric estimation (62G05) Robustness and adaptive procedures (parametric inference) (62F35) Nonparametric inference (62G99)


Related Items

M-estimation of k-sample location parameters; a two-sided preliminary test approach, M-tests in multivariate models, An appraisal of some aspects of statistical inference under inequality constraints



Cites Work

  • M-methods in multivariate linear models
  • On preliminary test and shrinkage M-estimation in linear models
  • Asymptotic relations of M-estimates and R-estimates in linear regression model
  • Union-intersection rank tests for ordered alternatives in some simple linear models
  • Rank Tests for Randomized Blocks Against Ordered Alternatives
  • Probability Integrals of Multivariate Normal and Multivariate $t^1$
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