New results on the gamma-ray burst variability–luminosity relation

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Volume 690 (October 2024)

A&A, 690 (2024) A261

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Table 2.

Correlation coefficients of the V_f–L_iso relation for the joint BAT-GBM sample, assuming β = 0.6.

f	Pearson’s	p-value	Spearman’s	p-value	Kendall’s	p-value	N_grb^(a)
	r	(r)	ρ	(ρ)	τ	(τ)
0.10	−0.085	0.41	−0.075	0.46	−0.052	0.45	99
0.15	0.055	0.55	0.021	0.82	0.012	0.84	124
0.20	−0.028	0.74	−0.033	0.7	−0.023	0.68	141
0.25	0.022	0.79	0.018	0.83	0.0072	0.9	151
0.30	0.06	0.45	0.046	0.56	0.029	0.59	158
0.35	0.16	0.037	0.097	0.21	0.066	0.2	170
0.40	0.14	0.063	0.08	0.29	0.056	0.27	177
0.45	0.15	0.036	0.086	0.25	0.057	0.25	184
0.50	0.2	0.0052	0.13	0.066	0.087	0.073	192
0.55	0.21	0.0038	0.15	0.032	0.1	0.036	195
0.60	0.2	0.0048	0.16	0.022	0.1	0.028	204
0.65	0.2	0.0038	0.18	0.01	0.11	0.015	207
0.70	0.23	0.00085	0.18	0.0078	0.12	0.011	208
0.75	0.24	0.00048	0.19	0.0053	0.12	0.0073	210
0.80	0.25	0.00031	0.19	0.0049	0.13	0.0057	212
0.85	0.24	0.00054	0.19	0.0051	0.13	0.0047	213
0.90	0.23	0.00085	0.2	0.004	0.13	0.0039	215

Notes.

^(a)

Number of GRBs with 90% significant estimates of V_f that were used in each case.

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