Signal-to-noise ratio improvement by stochastic resonance in moments in non-dynamical systems with multiple states

► Stochastic resonance in higher order moments from the output of multi-valued system is discovered. ► Signal-to-noise ratios of higher order moments are investigated. ► Information in higher order moments are collected by the appropriate linear combination. ► The method gives a better SNR than the conventional method where only the lowest moments are taken into consideration.