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Table 4 Prediction error of centralities

From: Analysis of ownership network of European companies using gravity models

Prediction error of centralities

Random

Spatial

Gravity

In-degree,  \(\epsilon _{C_{D}^+}\)

33.36681896

32.90683376

4.79292979

Out-degree,  \(\epsilon _{C_{D}^-}\)

33.40637236

32.94787645

5.59613725

Betweenness,  \(\epsilon _{C_{B}}\)

170.04457052

169.95647946

182.47883742

In-closeness,  \(\epsilon _{C_{C}^+}\)

0.00000940

0.00000919

0.00000243

Out-closeness,  \(\epsilon _{C_{C}^-}\)

0.00000938

0.00000917

0.00000377

Hubs,  \(\epsilon _{C_{H}}\)

0.00002001

0.00002003

0.00002061

Authority,  \(\epsilon _{C_{A}}\)

0.00001703

0.00001704

0.00001532

PageRank,  \(\epsilon _{C_{P}}\)

0.00001782

0.00001781

0.00003000