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Table 4 Summary statistics of the conditioned portfolio similarity in the real network and its counterparts in the random and balanced allocation scenarios

From: Portfolio diversification, differentiation and the robustness of holdings networks

Network c f \({\textbf {q}^{*}_{\textbf {s}}}\) (0.09) \(\textbf {Q}^{*}_{\textbf {s,1}}\) \({\textbf {Q}^{*}_{\textbf {s,2}}}\) \({\textbf {Q}^{*}_{\textbf {s,3}}}\) \({\textbf {q}^{*}_{\textbf {s}}}\) (0.91) \({\textbf {IQR}^{*}_{\textbf {s}}}\) \(\bar {\textbf {s*}}\)
Hor    3.5·10−3 1.5·10−2 5.4·10−2 1.8·10−1 4.3·10−1 1.6·10−1 1.3·10−1
Hor,b 2   1.5·10−2 3.2·10−2 8.0·10−2 1.7·10−1 2.8·10−1 1.3·10−1 1.2·10−1
Hor,b 10   1.4·10−2 3.1·10−2 7.7·10−2 1.6·10−1 2.7·10−1 1.3·10−1 1.1·10−1
Hor,b 100   1.4·10−2 3.1·10−2 7.6·10−2 1.6·10−1 2.7·10−1 1.3·10−1 1.1·10−1
H1,b 2   8.6·10−3 2.0·10−2 3.3·10−2 5.2·10−2 7.8·10−2 3.2·10−2 4.0·10−2
H1,b 10   1.1·10−2 1.8·10−2 2.7·10−2 4.2·10−2 6.3·10−2 2.5·10−2 3.3·10−2
H1,b 100   1.0·10−2 1.5·10−2 2.3·10−2 3.5·10−2 5.2·10−2 2.0·10−2 2.8·10−2
H1 2   2.3·10−3 6.9·10−3 1.6·10−2 3.2·10−2 5.5·10−2 2.5·10−2 2.4·10−2
H1 10   1.5·10−3 4.7·10−3 1.2·10−2 2.4·10−2 4.2·10−2 1.9·10−2 1.8·10−2
H1 100   1.0·10−3 3.4·10−3 9.0·10−3 1.9·10−2 3.4·10−2 1.5·10−2 1.4·10−2
H2,b 2 1 2.4·10−2 3.8·10−2 6.2·10−2 9.4·10−2 1.4·10−1 5.6·10−2 7.3·10−2
H2,b 2 10 2.4·10−2 3.9·10−2 6.2·10−2 9.4·10−2 1.4·10−1 5.5·10−2 7.3·10−2
H2,b 10 1 2.3·10−2 3.6·10−2 5.8·10−2 8.8·10−2 1.3·10−1 5.2·10−2 6.9·10−2
H2,b 10 10 2.3·10−2 3.6·10−2 5.8·10−2 8.7·10−2 1.3·10−1 5.1·10−2 6.9·10−2
H2,b 100 1 2.2·10−2 3.5·10−2 5.7·10−2 8.7·10−2 1.3·10−1 5.1·10−2 6.8·10−2
H2,b 100 10 2.2·10−2 3.6·10−2 5.7·10−2 8.6·10−2 1.3·10−1 5.1·10−2 6.8·10−2
H2 2 1 4.9·10−3 1.5·10−2 3.4·10−2 6.2·10−2 9.9·10−2 4.7·10−2 4.6·10−2
H2 2 10 4.5·10−3 1.3·10−2 3.0·10−2 5.4·10−2 8.4·10−2 4.0·10−2 3.8·10−2
H2 10 1 4.4·10−3 1.4·10−2 3.1·10−2 5.8·10−2 9.2·10−2 4.4·10−2 4.2·10−2
H2 10 10 4.1·10−3 1.2·10−2 2.7·10−2 4.9·10−2 7.7·10−2 3.7·10−2 3.5·10−2
H2 100 1 4.3·10−3 1.3·10−2 3.1·10−2 5.7·10−2 9.0·10−2 4.3·10−2 4.1·10−2
H2 100 10 4.0·10−3 1.2·10−2 2.7·10−2 4.9·10−2 7.7·10−2 3.7·10−2 3.4·10−2
  1. Conditioned statistics are distinguished from the unconditioned ones by an asterisk superscript