Admissibility of the empirical distribution function in discrete nonparametric invariant problems

DOI10.1016/0167-7152(93)90025-EzbMath0793.62008OpenAlexW2029299546MaRDI QIDQ1324568

Qi Qing Yu

Publication date: 3 August 1994

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(93)90025-e

zbMATH Keywords

empirical distribution functiondiscrete distributioninvariant estimatorstepwise Bayes procedure

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Order statistics; empirical distribution functions (62G30) Admissibility in statistical decision theory (62C15)

Cites Work

• Inadmissibility of the empirical distribution function in continuous invariant problems
• The admissibility of the empirical distribution function
• Minimaxity of the empirical distribution function in invariant estimation
• Admissibility in discrete and continuous invariant nonparametric estimation problems and in their multinomial analogs
• Minimax estimation of a cumulative distribution function
• Some Minimax Invariant Procedures for Estimating a Cumulative Distribution Function
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