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

Table 5

This table reports the values of scale for a log normal distribution of parameters and and 30 % of Gaussian noise. The ideal value to obtain is 15.97. The level of noise is expressed as percentage of the mean of the distributions. In the columns we have the scale values when the distributions are composed with 20, 50, 100, and 1000 points.

	20 points	50 points	100 points	1000 points
	Scale s	Scale s	Scale s	Scale s
Mean	14.59655	15.23205	15.68975	16.38328
	14.67788	15.30456	15.75851	16.44366
Trimmed Mean	1.53488	0.90977	0.64213	0.20385
	2.14418	1.28424	0.88579	0.27558
Winsorized Mean	5.63982	5.73328	5.74412	5.78392
	5.67598	5.75673	5.76635	5.80524