Abstract We combine our dynamical modeling black-hole mass measurements from the Lick AGN Monitoring Project 2016 sample with measured cross-correlation time lags and line widths to recover individual scale factors,f, used in traditional reverberation-mapping analyses. We extend our sample by including prior results from Code for AGN Reverberation and Modeling of Emission Lines (caramel) studies that have utilized our methods. Aiming to improve the precision of black-hole mass estimates, as well as uncover any regularities in the behavior of the broad-line region (BLR), we search for correlations betweenfand other AGN/BLR parameters. We find (i) evidence for a correlation between the virial coefficient and black-hole mass, (ii) marginal evidence for a similar correlation between and black-hole mass, (iii) marginal evidence for an anticorrelation of BLR disk thickness with and , and (iv) marginal evidence for an anticorrelation of inclination angle with , , and . Last, we find marginal evidence for a correlation between line-profile shape, when using the root-mean-square spectrum, , and the virial coefficient, , and investigate how BLR properties might be related to line-profile shape usingcaramelmodels. 
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                            Restoration of the Tully–Fisher Relation by Statistical Rectification
                        
                    
    
            Abstract I employ the Lucy rectification algorithm to recover the inclination-corrected distribution of local disk galaxies in the plane of absolute magnitude (Mi) and Hivelocity width (W20). By considering the inclination angle as a random variable with a known probability distribution, the novel approach eliminates one major source of uncertainty in studies of the Tully–Fisher relation: inclination angle estimation from axial ratio. Leveraging the statistical strength derived from the entire sample of 28,264 Hi-selected disk galaxies atz< 0.06 from the Arecibo Legacy Fast ALFA survey, I show that the restored distribution follows a sharp correlation that is approximately a power law between −16 >Mi> −22: , withM0= −19.77± 0.04 andβ= 4.39 ± 0.06. At the brighter end (Mi< −22), the slope of the correlation decreases toβ≈ 3.3, confirming previous results. Because the method accounts for measurement errors, the intrinsic dispersion of the correlation is directly measured: dex between −17 >Mi> −23, whileσ(Mi) decreases from ∼0.8 in slow rotators to ∼0.4 in fast rotators. The statistical rectification method holds significant potential, especially in the studies of intermediate-to-high-redshift samples, where limited spatial resolution hinders precise measurements of inclination angles. 
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                            - Award ID(s):
- 2103251
- PAR ID:
- 10492213
- Publisher / Repository:
- DOI PREFIX: 10.3847
- Date Published:
- Journal Name:
- The Astrophysical Journal Letters
- Volume:
- 963
- Issue:
- 1
- ISSN:
- 2041-8205
- Format(s):
- Medium: X Size: Article No. L19
- Size(s):
- Article No. L19
- Sponsoring Org:
- National Science Foundation
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