Corollary: Fixed event accuracy

Suppose $h_e\le \eta$ for each of $KN$ events and the remaining allowances sum to $e_0<\epsilon /2$. For $\eta >0$, the sufficient conditions

are simultaneously feasible if

For $\eta =0$, $N=N_{\ast }$ is sufficient.

Proof. The first condition holds for integers $N\ge N_{\ast }$. For $\eta >0$, the second holds up to the displayed integer upper bound. For $\eta =0$ it is independent of $N$.