Prefer a chat interface with context about you and your work?
Characterization of the class of upward first passage time distributions of birth and death processes and related results
We define classes $CME_{+}(m, 1)$ for $m\geqq 0$ and $CME_{+}(0, n)$ for $n\geqq 2$ by $CME_{+}(m, 1)$ $=CE_{+}(m+1)$ and $CME_{+}(0, n)=ME_{+}(n)$ , respectively.SetThe superscript $f$ stands for finite.We will discuss, in a forthcoming paper, extensions of the classes $CE_{+},$ $ME_{+}$ and $CME_{+}$ to distributions on the whole line.So we use …