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Table 2

Ep,i-(Ep-) α correlation significance.

Sample P(Pearson) P(Spearman) P(Kendall)

α vs. Ep 1 × 10-5 2 × 10-5 2 × 10-5
α vs. Ep,i 2 × 10-7 6 × 10-8 8 × 10-8
α vs. Ep,ia 2 × 10-9 4 × 10-9 1 × 10-8
α vs. Epb 8 × 10-5 2 × 10-4 1 × 10-4
α vs. Ep,ib 6 × 10-6 6 × 10-6 6 × 10-6

α vs. Ep,ic 7 × 10-2 9 × 10-2 8 × 10-2
α vs. Ep,id 8 × 10-4 4 × 10-4 1 × 10-3
α vs. Ep,ie 1 × 10-5 1 × 10-5 3 × 10-6

Notes. Uncertainties on individual quantities have been accounted for.

(a)

060614 excluded.

(b)

Only GRBs whose PDS are best fit with pl.

(c)

Low S/N subsample (39 GRBs; SSN1).

(d)

Mid S/N subsample (39 GRBs; SSN2).

(e)

High S/N subsample (39 GRBs; SSN3).

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