Low redshift AGN in the Hamburg/ESO Survey - II. The active black hole mass function and the distribution function of Eddington ratios

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Table 3:

Fitting results for the active black hole mass function and the Eddington ratio distribution function.
												$\rho_{\rm act}$
BHMF	ERDF	$\phi_\bullet^\ast$ [Mpc^-3]	$\log M_\ast$	$\alpha _{\rm BH}$	$\beta_{\rm BH}$	$\log \ensuremath{\lambda~} _\ast$	$\alpha_\ensuremath{\lambda~}$ / $\sigma_\ensuremath{\lambda~}$	$D_{\rm KS}$	$p_{\rm KS}$	$\chi^2$ /d.o.f.	$p_{\chi^2}$	[ $M_\odot~{\rm Mpc}^{-3}$ ]
DPL( $\beta$ )	S	$2.97\times 10^{-6}$	7.97	-2.11	-3.11	-0.57	-1.90	0.100	2.8e-2	61.3/25	4.2e-5	1621
DPL	S	$2.86\times 10^{-6}$	8.01	-2.10	-3.21	-0.56	-1.94	0.101	2.6e-2	63.4/25	2.1e-5	1687
mS	S	$2.75\times 10^{-6}$	8.11	-2.11	0.50	-0.55	-1.95	0.094	4.8e-2	56.8/25	1.8e-4	1767
mS	ln	$2.36\times 10^{-6}$	8.07	-2.12	0.48	-1.83	0.49	0.081	1.2e-1	50.8/25	1.1e-3	1388

Notes. The first column indicates the function used for the BHMF. ``DPL'' is for a double power law, with $\beta$ indicating the fixing of the high mass slope and ``mS'' is for a modified Schechter function. The second column indicates the ERDF. ``S'' is for a Schechter function and ``ln'' stands for a log-normal distribution.

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