Kramers-Moyal master equation
= Kramers-Moyal master equation
For a jump process with rate $W(n,r)$ from state $n$ to $n+r$, probability balance gives
$$
\partial_tP(n,t)=\sum_r
\big[P(n-r,t)W(n-r,r)-P(n,t)W(n,r)\big].
$$
The first term is inflow from $n-r$ and the second is outflow from $n$.