Typo in formula for Wright-Fisher Model

[andieich]

Hi,
I think that there might be a typo in your Introduction to the Wright-Fisher Model (which is very helpful, thanks for that!). If I understood it correctly, your formula:

$$X_{t} \mid X_{t-1} = x_{t-1} \sim Binomial(n = 2N, p = \frac{x_{t-1}}{2N})$$

should give the probability for $x_{t}$ and not $x_{t-1}$ and should therefore be:

$$X_{t} \mid X_{t-1} = x_{t} \sim Binomial(n = 2N, p = \frac{x_{t-1}}{2N})$$

Is this correct?

[stephens999]

thanks for the suggestion! The original is correct. The conditioning event is X_{t-1}=x_{t-1}. Maybe it would help you if I write
X_t | (X_{t-1}=x_{t-1})
but the extra () are not usually used in this context and make the notation a bit busy.

[andieich]

aaah, now I get it, thanks!