Figure 9
Convergence of the bin-width solution with respect to the count numbers for the simulated data set 1. The optimization method using equation (3) is applied on the simulated data. The differences in the optimized bin widths from the bin widths minimizing the integrated squared errors are plotted for the 20 data sets for each total count number. The color scale indicates the number of times the same differences were obtained in 20 trials. The vertical gray lines show the lower and upper bounds of the counts of the corresponding experimental data sets in Section 3.2. The units on the vertical axes are the bin widths of the initial histogram. |