2 problems

Bar-Lev–Bshouty–Enis conjecture. The pair $\left(v,\left(0,\infty\right)\right)$ is a variance function for all $n\in\mathbb{N}$ if and only if $\operatorname{Re}(u_1)\leq 0$. The…

A one-parameter natural exponential family (NEF) has a variance function $v$ defined on its mean domain $U$. Consider a polynomial with a simple root at $0$ and a complex root…