Tukey's M-estimator of the Poisson parameter with a special focus on small means

DOI10.1007/s10260-015-0295-xzbMath1405.62034OpenAlexW1218684033MaRDI QIDQ2013636

Roland Fried, Hanan Elsaied

Publication date: 8 August 2017

Published in: Statistical Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10260-015-0295-x

zbMATH Keywords

outliersrobustnesscount dataPoisson modelTukey M-estimatorHuber M-estimator

Mathematics Subject Classification ID

Point estimation (62F10) Robustness and adaptive procedures (parametric inference) (62F35)

Related Items (3)

On robust estimation of negative binomial INARCH models ⋮ The median of a jittered Poisson distribution ⋮ ROBUST FITTING OF INARCH MODELS

Uses Software

• R
• ROptEst
• wle
• distrMod

Cites Work

• Repeated median and hybrid filters
• Weighted likelihood estimating equations: The discrete case with applications to logistic regression
• Optimal robust estimates using the Hellinger distance
• Properties of robust m-estimators for poisson and negative binomial data^∗
• The Influence Curve and Its Role in Robust Estimation
• Edge-Preserving Smoothers for Image Processing
• Robust Inference for Generalized Linear Models
• Robust Statistics
• Robust Statistics

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