Non-uniqueness in probabilistic numerical identification of bacteria

Mats Gyllenberg, Timo Koski, Edwin Reilink, Martin Verlaan · Journal of Applied Probability · 1994

In this note we point out an inherent difficulty in numerical identification of bacteria. The problem is that of uniqueness of the taxonomic structure or, in mathematical terms, the lack of statistical identifiability of finite mixtures of multivariate Bernoulli probability distributions shown here.

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