Geodesic Distance on Gaussian Manifolds to Reduce the Statistical Errors in the Investigation of Complex Systems

Table 7

The values of Type I errors for a log normal distribution of parameters and and 30 % of Gaussian noise. The level of noise is expressed as percentage of the mean of the distributions. In the columns we have the percentage of improvement of the Type I errors values through the GDGM methods compared to conventional methods. The distributions are composed with 20, 50, 100, and 1000 points. The minus sign indicates an improvement with respect to the corresponding technique calculated without the GDGM.

	20 points	50 points	100 points	1000 points
	Type I errors [%]	Type I errors [%]	Type I errors [%]	Type I errors [%]
	-56.0	-71.8	-67.6	-63.2
	2.24	-10.6	-4.3	-8.7
	-12.1	-21.5	-16.1	-17.8