Modelling structural zeros in compositional data via a zero-censored multivariate normal model

Abstract

We present a new model for analyzing compositional data with structural zeros. Inspired by butler2008 who suggested a model in the presence of zero values in the data we propose a model that treats the zero values in a different manner. Instead of projecting every zero value towards a vertex, we project them onto their corresponding edge and fit a zero-censored multivariate model.

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