The special case n = 1 is a geometric distribution. Le cas spécial n = 1 est la loi géométrique.
2.
The cumulants satisfy a recursion formula κ n + 1 = p ( 1 − p ) d κ n d p . {\displaystyle \kappa _{n+1}=p(1-p){\frac {d\kappa _{n}}{dp}}.} The geometric distributions, (number of failures before one success with probability p of success on each trial). Les cumulants vérifient la formule de récurrence κ n + 1 = p ⋅ ( 1 − p ) ⋅ d κ n d p .