3 problems

Let $P[[t]]$ be the set of formal series … whose coefficients are monotone nondecreasing nonnegative functions on $2^X$. Let $\mu$ be a probability measure on $2^X$ satisfying the…

Let $X=[m]$ for some finite $m\geq 1$, and let $f_1,\ldots,f_n$ be nonnegative nondecreasing functions $2^X\to\mathbb{R}$. For a probability measure $\mu$ on $2^X$, write … for…

Let $X$ be a finite set, let $bc$ be a probability measure on $2^X$ satisfying the FKG condition … and let $f_1,\ldots,f_n:2^X\to\mathbb{R}$ be nonnegative monotone functions. For…