We present a new form and a short complete proof of explicit two-sided estimates for the distribution function $F_{n,p}(k)$ of the binomial law with parameters $n,p$ from [D. Alfers and H. Dinges, Z.… Expand

A subcritical Galton-Watson process is investigated under the condition that the number of particles is bounded above (“superfluous” particles are annihilated). A necessary and sufficient condition… Expand