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probability distribution for zero-inflated, right skewed data

Johannes Björk 
Dear all,

Im looking into how to fit a GLM model (Im using rjags) with data that are heavily right skewed. In addition, some variables also zero-inflated. The data are species area distribution measured as "total area (km^2)" which is subsetted into "area in tropical zone" and "area in temperate zone". The last two variables contain zeros. 

I have google zero-inflated models... and most that come up is "zero-inflated negative binomial" and zero-inflated negative poisson" for count data. I reckon I cannot use any of these distributions since my variables are not discrete. 

Any pointer to which distribution(s) that might fit this kind of data would be much appreciated. 

Attached: Histograms of the data

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Johannes Björk probability distribution for zero-inflated, right skewed data Jun 16 Bob OHara probability distribution for zero-inflated, right skewed data Jun 16 Johannes Björk probability distribution for zero-inflated, right skewed data Jun 16 Cade, Brian probability distribution for zero-inflated, right skewed data Jun 16 Augustine, Benjamin C probability distribution for zero-inflated, right skewed data Jun 16 Scott Foster probability distribution for zero-inflated, right skewed data Jun 16