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Inferential statistics are based on probability models, whose usual intent is to model a larger population. I suppose one could create a summary statistic article that is subdivided into inferential and descriptive sections. But I think the field of descriptive statistics is broad and deep enough
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A descriptive statistic is a kind of summary statistic. But there are plenty of summary statistics that are inferential, not descriptive. An example from genetics is GWAS summary statistics.
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As per lead: "A descriptive statistic (in the count noun sense) is a summary statistic".
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