needlestack
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Try new robust Negative Binomial regression
https://icors2016.sciencesconf.org/conference/icors2016/Yohai.pdf http://www.matematica.uns.edu.ar/uma2016/material/comunicaciones/estadistica/Valdora.pdf https://www.birs.ca/workshops/2015/15w5003/files/Alfio_Marazzi_Banff.pdf
At least think about it...
This paper describes the new method https://arxiv.org/abs/1703.09626. We should contact the author to access their R package