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Multimodal distribution
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===Ashman's D=== A statistic that may be useful is Ashman's D:<ref name=Ashman1994>{{cite journal |author1=Ashman KM |author2=Bird CM |author3=Zepf SE |date=1994 |title=Detecting bimodality in astronomical datasets |journal=The Astronomical Journal |volume=108 |pages=2348β2361 |arxiv=astro-ph/9408030 |doi=10.1086/117248 |bibcode=1994AJ....108.2348A|s2cid=13464256 }}</ref> <math display="block"> D = \frac{ \left| \mu_1 - \mu_2 \right| }{ \sqrt{ 2 \left( \sigma_1^2 + \sigma_2^2 \right) } } </math> where ''ΞΌ''<sub>1</sub>, ''ΞΌ''<sub>2</sub> are the means and ''Ο''<sub>1</sub>, ''Ο''<sub>2</sub> are the standard deviations. For a mixture of two normal distributions ''D'' > 2 is required for a clean separation of the distributions.
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