A system, comprising: an electrode arrangement (101; 201-1 - 201-N; 413); a neuromodulation device (102; 202; 404; 602A; 602B; 602C; 602D) configured to use electrodes in the electrode arrangement (101; 201-1 - 201-N; 413) to generate a neuromodulation field, the neuromodulation device (102; 202; 404; 602A; 602B; 602C; 602D) including a neuromodulation generator , a neuromodulation control circuit and a storage , the storage including a stochastically-modulated neuromodulation parameter set (517; 617; 717; 817; 917; 1017), the stochastically-modulated neuromodulation parameter set (517; 617; 717; 817; 917; 1017) including at least one stochastically-modulated parameter, wherein the control circuit is configured to control the neuromodulation generator using the stochastically-modulated neuromodulation parameter set (517; 617; 717; 817; 917; 1017) to generate the neuromodulation field; and a stochastic modulator (516; 616; 716; 816; 916; 1016) programmed with at least one modulation model and configured to use the at least one modulation model to stochastically modulate at least one parameter of a neuromodulation parameter set (514; 614; 714; 814; 914; 1014) to provide the at least one stochastically-modulated parameter in the stochastically-modulated neuromodulation parameter set (517; 617; 717; 817; 917; 1017), wherein the stochastic modulator (516; 616; 716; 816; 916; 1016) is configured to use random or pseudo-random samples of the modulation model to stochastically modulate the at least one parameter, and characterized in that the stochastic modulator (516; 616; 716; 816; 916; 1016) includes stochastic process rules used to identify if a subsequent sample is permissible for a sequence of random or pseudo-random samples used to stochastically modulate the at least one parameter. an electrode arrangement (101; 201-1 - 201-N; 413); a neuromodulation device (102; 202; 404; 602A; 602B; 602C; 602D) configured to use electrodes in the electrode arrangement (101; 201-1 - 201-N; 413) to generate a neuromodulation field, the neuromodulation device (102; 202; 404; 602A; 602B; 602C; 602D) including a neuromodulation generator , a neuromodulation control circuit and a storage , the storage including a stochastically-modulated neuromodulation parameter set (517; 617; 717; 817; 917; 1017), the stochastically-modulated neuromodulation parameter set (517; 617; 717; 817; 917; 1017) including at least one stochastically-modulated parameter, wherein the control circuit is configured to control the neuromodulation generator using the stochastically-modulated neuromodulation parameter set (517; 617; 717; 817; 917; 1017) to generate the neuromodulation field; and a stochastic modulator (516; 616; 716; 816; 916; 1016) programmed with at least one modulation model and configured to use the at least one modulation model to stochastically modulate at least one parameter of a neuromodulation parameter set (514; 614; 714; 814; 914; 1014) to provide the at least one stochastically-modulated parameter in the stochastically-modulated neuromodulation parameter set (517; 617; 717; 817; 917; 1017), wherein the stochastic modulator (516; 616; 716; 816; 916; 1016) is configured to use random or pseudo-random samples of the modulation model to stochastically modulate the at least one parameter, and <EOS>