The long γ-ray burst rate and the correlation with host galaxy properties

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Table 7

Redshift and LGRB probability predictions.

Sample	5 < z < 6	6 < z < 8	z > 8	^*	M_BH^*
	%	%	%		M_⊙

S^N	3.7	1.2	0.0169	0.98 ± 0.36	99.88 ± 36.78
S^M	2.7	0.1	0.0002	0.98 ± 0.36	99.88 ± 36.78
P^N	3.7	1.2	0.0169	0.82 ± 0.30	99.91 ± 36.76
P^M	5.6	3.4	0.0030	0.82 ± 0.30	99.91 ± 36.76
UL1^N	4.9	1.3	0.0050	0.58 ± 0.21	99.95 ± 36.77
UL1^M	7.8	9.3	8.0831	0.60 ± 0.22	99.95 ± 36.77
UL2^N	3.7	1.2	0.0147	0.75 ± 0.28	99.93 ± 36.76
UL2^M	6.9	6.9	2.3077	0.75 ± 0.28	99.93 ± 36.76

Notes.

^(N)

Normal CSFH model (Eq. (5)) using the best-fit properties given in Table 6.

^(M)

Modified CSFH model (Eq. (18)) using the best-fit properties given in Table 6.

^(*)

Uncertainties are given as 1σ deviations, as the propagated errors of Eqs. (16) and (17) are dominated by and are thus underestimated.

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