Disease mapping via negative binomial regression M‐quantiles

  title={Disease mapping via negative binomial regression M‐quantiles},
  author={Raymod Chambers and Emanuela Dreassi and Nicola Salvati},
  journal={Statistics in Medicine},
  pages={4805 - 4824}
We introduce a semi‐parametric approach to ecological regression for disease mapping, based on modelling the regression M‐quantiles of a negative binomial variable. The proposed method is robust to outliers in the model covariates, including those due to measurement error, and can account for both spatial heterogeneity and spatial clustering. A simulation experiment based on the well‐known Scottish lip cancer data set is used to compare the M‐quantile modelling approach with a disease mapping… 
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