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Parameters 0 < F < 1 {displaystyle 0 Support x ∈ ( 0 ; 1 ) {displaystyle xin (0;1)!} PDF x α − 1 ( 1 − x ) β − 1 B ( α , β ) {displaystyle { rac {x^{alpha -1}(1-x)^{eta -1}}{mathrm {B} (alpha ,eta )}}!} CDF I x ( α , β ) {displaystyle I_{x}(alpha ,eta )!} Mean p {displaystyle p!} Median I 0.5 − 1 ( α , β ) {displaystyle I_{0.5}^{-1}(alpha ,eta )} no closed form | ||
In population genetics, 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 FST F, are distributed according to independent draws from
where B is the Beta distribution. This distribution has mean p and variance Fp(1 – p).
The model is due to David Balding and Richard Nichols and is widely used in the forensic analysis of DNA profiles and in population models for genetic epidemiology.
Differential equation