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Robust generalized linear models (GLM) using a mixture method, as described in Beath (2018) doi:10.1080/02664763.2017.1414164. This assumes that the data are a mixture of standard observations, being a generalised linear model, and outlier observations from an overdispersed generalized linear model. The overdispersed linear model is obtained by including a normally distributed random effect in the linear predictor of the generalized linear model.
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