In unit-birth continuous-time Markov chains with linear degradation, explicit hypotheses allow rigorous proof of a global noise tradeoff via stationary information flow, and signed monotonicity yields the termwise bound that every Fano factor is at least 1.
Association of probability measures on partially ordered spaces.Journal of Multivariate Analysis, 26(2):111–132, 1988
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Noise Tradeoffs, Stationary Information Flow, and Structural Balance in Unit-Birth Networks
In unit-birth continuous-time Markov chains with linear degradation, explicit hypotheses allow rigorous proof of a global noise tradeoff via stationary information flow, and signed monotonicity yields the termwise bound that every Fano factor is at least 1.