Editing Histogram (section)

==== Shimazaki and Shinomoto's choice ====

The choice is based on minimization of an estimated ''L''<sup>2</sup> [[risk function]]<ref>{{cite journal | last = Shimazaki | first =H. |author2=Shinomoto, S.  | title =A method for selecting the bin size of a time histogram | journal = Neural Computation | volume =19 | issue = 6 | pages =1503–1527 | year =2007 | pmid = 17444758 | doi = 10.1162/neco.2007.19.6.1503| citeseerx =10.1.1.304.6404| s2cid =7781236 }}</ref>

:<math> \underset{h}{\operatorname{arg\,min}} \frac{ 2 \bar{m} - v } {h^2} </math>

where <math>\textstyle \bar{m}</math> and <math>\textstyle v</math> are mean and biased variance of a histogram with bin-width <math>\textstyle h</math>, <math>\textstyle \bar{m}=\frac{1}{k} \sum_{i=1}^{k}  m_i</math> and <math>\textstyle v= \frac{1}{k} \sum_{i=1}^{k} (m_i - \bar{m})^2 </math>.