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Related research examined the effect on ambient ozone concentrations of measures to reduce urban heat islands.
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We apply concentration-of-measure inequalities to the quantification of uncertainties in the performance of engineering systems.
We also investigate numerically the tightness of concentration-of-measure inequalities with the aid of an imploding ring example.
We show that concentration-of-measure inequalities rigorously bound probabilities of failure and thus supply conservative certification criteria.
Our numerical tests establish the robustness and viability of concentration-of-measure inequalities as a basis for certification in that particular example of application.
Table s6 lists concentrations of measured cytokines and chemokines elicited by each agonist.
Proofs of these earlier results used spectral theory or concentration of measure.
There is an exponential concentration of measure of the sup norm around this median value.
The required cumulant bounds are obtained by concentration of measure arguments and change of variables techniques.
This brings a new wide class of examples of probability measures enjoying a dimension-free concentration of measure property.
We study some problems on exponential integrability, concentration of measure, and transportation cost related to logarithmic Sobolev inequalities.
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