The influence of non-Gaussian noise on the accuracy of parameter estimation

Abstract We analyze the influence of non-Gaussian noise on the accuracy of the parameter estimation. Specially, we estimate the intensity of magnetic field by adopting a spin-1/2 system which is influenced by random telegraph noise and colored noise with 1 / f α spectrum. We find that, for the random telegraph noise case, both weak coupling and strong coupling conditions are suitable for the parameter estimation. For the colored noise case, the accuracy of the parameter estimation decreases with the parameter α firstly and then increases with it. We also give physical explanations for these phenomena.