K. Kruminsh, A. Lorencs and V. Plocinjsh. Mathematical abstractions and practical realization of the “up-and-down” method. Automatic Control and Computer Sciences, 2010, Vol. 44, No. 4, pp. 191-198.
By analytical calculations and statistical modeling, the root-mean-square deviation of the result of discrete stroboscopic noise transformation is investigated with the up-and-down method at the relatively large range steps of the method. Analytical investigations are fulfilled at symmetric (equally up and down) steps, and statistical modeling is fulfilled at symmetric and asymmetric steps of the up-and-down and modified up-and-down method.