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Refers to data generated from a distribution that has a countable sample space. The discrete data tag may encompass categorical data, whether nominal (e.g. the distribution of race in a sample of individuals) or ordinal (e.g. socio-economic status), or an actual discrete random variate, such as a set of event counts (e.g. the number of errors on a page of text). Discrete data need not necessarily be integer, however.

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How to compare similarity between two discrete distributions

If I understand your statement of the problem, the resulting Earth Movers Distance (EMD) has a formal probabilistic interpretation referred to as the Mallows Distance (among other names). See the refe …
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