Balding-Nichols model

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The Balding-Nichols model is a statistical description of the allele frequencies in the components of a sub-divided population. With background allele frequency p the allele frequencies in sub-populations separated by Wright's \scriptstyle F_\mathrm{st}\ F are distributed according to independent draws from

B\left(\frac{1-F}{F}p,\frac{1-F}{F}(1-p)\right)

where B is the Beta distribution

The model is due to David Balding and Richard Nichols and is widely used in the forensic analysis of DNA profiles.