Fig. 3 Comparison of empirical CDF for relative error between the game with L=1 and the game with L=A+B r, using Eq. 50.
During tests of the realized prototype using the reference object, the object impedance measurement errors have been determined and they do not exceed ±1.6% (for relative error of impedance modulus) and ±0.6° (for absolute error of impedance argument).
This is while our algorithm only requires paraunitary matrices of order 3 for relative error of 0.035 with positive singular values and relative error of 2.45 × 10−6 with complex singular values.
This is a standard difficulty in use of relative errors for round-off.
Therefore, the consistency of volume curves provides a foundation for calculation and analysis of relative errors as below.
We design an objective function for minimizing relative errors of phase velocities of waves propagating in all directions within a given range of wavenumbers.
Fig. 15c shows that the RMS values for the relative errors between the benchmark CPs and the identified CPs in each time-section are less than 0.04.
These tails are due to particles at large radii and, for the relative errors only, also at small radii (see the discussion in Section 3.1).
Significant differences between two data sets were analyzed using the Welch-test, which allows for unequal relative errors between two groups of measurements assuming that a Gauss distribution is applicable [ 109].
Further, a derivation of confidence intervals for Subset Simulation relative errors is presented.
