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

Table 1

Measures of location for the data of Figure 1. The ideal value to be obtained is 3. The acronym GD indicates the values obtained with the use of the Geodesic on the Gaussian Manifold (GDGM) proposed in the paper, which reduces the errors in the estimates even of an order of magnitude recovering almost the right value of 3.

	No Noise	Noise
Mode	2.975	4.728
Mean	3.000	4.664
	2.335	3.352
Trimmed Mean	2.999	4.687
	1.965	2.939
Wisorized Mean	3.000	4.680
	2.122	3.088