Editing Multimodal distribution (section)

==== de Michele and Accatino's index ====

Another bimodality index has been proposed by de Michele and Accatino.<ref name=deMichele2014>{{cite journal | last1 = De Michele | first1 = C | last2 = Accatino | first2 = F | year = 2014 | title = Tree cover bimodality in savannas and forests emerging from the switching between two fire dynamics | journal = PLoS One | volume =  9| issue = 3| pages =  e91195| doi = 10.1371/journal.pone.0091195 |bibcode = 2014PLoSO...991195D | pmid=24663432 | pmc=3963849| doi-access = free }}</ref> Their index (''B'') is

<math display="block"> B = | \mu - \mu_M | </math>

where ''μ'' is the arithmetic mean of the sample and

<math display="block"> \mu_M = \frac{ \sum_{ i = 1 }^L m_i x_i }{ \sum_{ i = 1 }^L m_i } </math>

where ''m''<sub>''i''</sub> is number of data points in the ''i''<sup>th</sup> bin, ''x''<sub>''i''</sub> is the center of the ''i''<sup>th</sup> bin and ''L'' is the number of bins.

The authors suggested a cut off value of 0.1 for ''B'' to distinguish between a bimodal (''B'' > 0.1)and unimodal (''B'' < 0.1) distribution. No statistical justification was offered for this value.