 | ||
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