Minimax Estimation of the Bounded Parameter of Some Discrete Distributions Under LINEX Loss Function

DOI10.1080/03610920903108509zbMath1201.62017OpenAlexW2090343622MaRDI QIDQ2786260

Nader Nematollahi, Nahid Jafari Tabrizi

Publication date: 21 September 2010

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

Full work available at URL: https://doi.org/10.1080/03610920903108509

zbMATH Keywords

Bayes estimatorLINEX loss functiondiscrete distributionsminimax estimationleast favorable priorbounded parameter space

Mathematics Subject Classification ID

Point estimation (62F10) Parametric inference under constraints (62F30) Bayesian inference (62F15) Bayesian problems; characterization of Bayes procedures (62C10) Minimax procedures in statistical decision theory (62C20)

Cites Work

• Minimax estimation of constrained parametric functions for discrete families of distributions
• Restricted parameter space estimation problems. Admissibility and minimaxity properties.
• Minimax estimation of a constrained Poisson vector
• Minimax and \(\Gamma\)-minimax estimation for the Poisson distribution under LINEX loss when the parameter space is restricted
• Minimax estimation of a bounded parameter of a discrete distribution
• Bayes minimax estimation of a bernoullipin a restricted parameter space
• Univariate Discrete Distributions

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