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Results tagged with posets
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user 76764
A poset or partially ordered set is a set endowed with a partial order, meaning a binary relation $\leq$ which is reflexive ($x \leq x$ for all $x$), antisymmetric ($x\leq y$ and $y\leq x$ implies $x=y$), and transitive ($x\leq y$ and $y\leq z$ implies $x \leq z$).
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When are increasing functions on posets (specifically, lattices) the CDF of a probability me...
{p\})$ as an infinite linear combination of $f_\mu(q)$ for different $q$ by Möbius inversion, but given an $f$, it's not obvious to me when these linear combinations are nonnegative—and, for infinite posets …
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