0-1 Beta regression

gistfile1.txt

dealing with zeros and ones in a beta regression
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Smithson, M. & Verkuilen, J. 
A better lemon squeezer? Maximum-likelihood regression with beta-distributed dependent variables. 
Psychol. Methods 11, 54–71 (2006). 
DOI: 10.1037/1082-989X.11.1.54

https://stats.stackexchange.com/questions/31300/dealing-with-0-1-values-in-a-beta-regression

zero-one inflated beta regression
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This approach fits three separate models in a bayesian context.
Model 1: Is a value a discrete 0/1, or is the value in (0,1)? Fit with a bernoulli distribution.
Model 2: Fit discrete subset with a bernoulli distribution.
Model 3: Fit (0,1) subset with beta regression. 
https://www.theanalysisfactor.com/zero-one-inflated-beta-models-for-proportion-data/