Invariant U-statistics

DOI10.1080/03610928608829307zbMath0616.62031OpenAlexW2045268291MaRDI QIDQ4725493

Yoshihiko Maesono, Hajime Yamato

Publication date: 1986

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610928608829307

zbMATH Keywords

uniformly minimum variance unbiased estimatorestimable parameterinvariant U-statistic

Mathematics Subject Classification ID

Point estimation (62F10) Foundations and philosophical topics in statistics (62A01)

Related Items (5)

Deficiencies of u-statistics of degree 2 under symmetric distributions ⋮ Estimation under invariant distributions ⋮ Nonparametric bayes estimates of estimable parameters with a dirichlet invarant process and inveriant u-statistics ⋮ Uniformly minimum variance unbiased estimation for symmetric normal distributions ⋮ Convergence of dirichlet invariant measures and the limits of bayes estimates

Cites Work

• Completeness theorems for characterizing distribution-free statistics
• Approximation Theorems of Mathematical Statistics
• On the Goodness-of-Fit Problem for Continuous Symmetric Distributions

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