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Table 5

Various isotropy indicators, listed separately for the 20 systems up to 8.1 pc, and for all 51 systems up to 18 pc.

N λ 3 λ 2 λ 1 α B α B G α G

Systems closer than 8.1 pc
20 0.254 0.262 0.268 9.05 12.28 12.68 0.005 0.52 0.27 0.21 8.20 0.14 3.32 0.007 0.65 0.19
All systems up to 18 pc
51 0.071 0.109 0.100 8.36 4.11 4.17 0.18 0.39 0.35 0.26 2.98 0.70 1.22 0.20 0.32 0.80

Notes. See Sect. 4.2 for the definition of the various indicators. , and are the average of (xi,yi,zi). The Watson statistics has first been corrected by Eq. (4) for α = 1%, before being approximated by the statistic so as to compute . The columns labelled B and G refer to Beran and Giné statistics, respectively (Eqs. (16) and (17)).

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