2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/25058We develop a theory for the full counting statistics (FCS) for a class of nanoelectromechanical systems (NEMS), describable by a Markovian generalized master equation. The theory is applied to two specific examples of current interest: vibrating C60 molecules and quantum shuttles. We report a numerical evaluation of the first three cumulants for the C60-setup; for the quantum shuttle we use the third cumulant to substantiate that the giant enhancement in noise observed at the shuttling transition is due to a slow switching between two competing conduction channels. Especially the last example illustrates the power of the FCS.7 pages, 3 figures; minor changes - final version as published in Europhys. LettMesoscale and Nanoscale Physicstext