4 problems

Exchangeable-distribution extension conjecture. The same decomposition should hold when the component lifetimes have any exchangeable distribution.

Let $\mathcal{G}_{n,n+3}$ be the class of graphs with $n$ vertices and $n+3$ edges, equipped with its Tutte polynomial poset, and consider the graphs described by Wang and by Liu a…

Let $R(x)$ be the reliability of a constituent component, let $\lambda(x)$ be its failure rate, and let $\mu_c(x,n,r)$ denote the hazard rate per data component of a horizontal sys…

Let $F(t)$ be a distribution function on $\mathbf{R}_+=[0,\infty)$ with $F(0)=0$, and let $M(t)$ be the renewal function satisfying … A distribution on $\mathbf{R}_+$ is DFR (decre…