The authors derive network- and delay-dependent bounds on entropic value-at-risk for inter-vehicle collisions by expressing distance covariances via Laplacian eigenvalues of the platoon communication graph.
Using the Chernoff bound for the left tail [5], for any s >0we obtain P ¯dj ≤α(δ) ≤e sα(δ)M ¯dj(−s)
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Entropic Value-at-Risk for Inter-Vehicle Collision in Platoons: Network- and Delay-Induced Bounds on Risk Due to Extreme Events
The authors derive network- and delay-dependent bounds on entropic value-at-risk for inter-vehicle collisions by expressing distance covariances via Laplacian eigenvalues of the platoon communication graph.