Table 7: Parameters of the Gaussian and Schechter components of the composite LFs fitted to the ESO-Sculptor $R_{\rm c}$ LFs.
Sample Morphol. Gaussian component Schechter component lik.
Type of LF type $M_0 - 5 \log h$ $\Sigma$a $\phi_0$b $M^* - 5 \log h$ $\alpha $ $\phi ^*$b ratio
early-type galaxies
$R_{\rm c}\le 20.5$:                
Pure Schechter         $-20.56\pm 0.14$ $\;\;0.11\pm0.23$ 0.01477 0.81
2-wing Gaussian E+S0+Sa $-20.68\pm0.24$ $0.76\pm0.12$ 0.00538       0.89
      $1.15\pm0.32$          
$R_{\rm c}\le 21.5$:                
Pure Schechter         $-20.69\pm 0.14$ $-0.13\pm 0.17$ 0.01477 0.84
2-wing Gaussian E+S0+Sa $-20.57\pm0.23$ $0.84\pm0.24$ 0.00533       0.92
      $1.37\pm0.36$          
intermediate-type galaxies
$R_{\rm c}\le 20.5$:                
Pure Schechter         $-20.43\pm 0.17$ $-0.73\pm 0.19$ 0.01361 0.75
Gaussian Sb+Sc $-19.79\pm0.29$ $0.88\pm0.17$ 0.00669        
     + Schechterc dSph       $-18.85\pm0.33$ $-1.67\pm0.29$ 0.00463 0.72
$R_{\rm c}\le 21.5$:                
Pure Schechter         $-20.85\pm 0.19$ $-1.07\pm 0.13$ 0.01361 0.83
Gaussian Sb+Sc $-20.03\pm0.17$ $0.92\pm0.13$ 0.00495        
    + Schechterc dSph       $-20.58\pm0.32$ $-1.49\pm0.32$ 0.00537 0.78
Gaussian Sb+Sc $-19.97\pm0.21$ $0.91\pm0.18$ 0.00860        
     + Schechterd dSph       $-18.98\pm0.37$ $-1.53\pm0.33$ 0.00934 0.62
late-type galaxies
$R_{\rm c}\le 20.5$:                
Pure Schechter         $-19.84\pm 0.24$ $-1.64\pm 0.23$ 0.00652 0.46
Gaussian Sc+Sd $-18.72\pm0.34$ $0.86\pm0.14$ 0.00486        
     + Schechterc dI       $-17.85\pm0.28$ $-0.83\pm0.26$ 0.04394 0.59
Gaussian Sc+Sd -18.72 F 0.86 F 0.00484        
    + Schechtere dI       $-17.54\pm0.30$ -0.30 F 0.05527 0.41
Gaussian Sd/Sm -17.70 0.80 0.00281        
$R_{\rm c}\le 21.5$:                
Pure Schechter         $-20.08\pm 0.21$ $-1.48\pm 0.16$ 0.00652 0.51
Gaussian Sc+Sd $-18.86\pm0.29$ $0.97\pm0.13$ 0.00440        
     + Schechterc dI       $-17.50\pm0.26$ $ 0.39\pm0.21$ 0.03677 0.61
Gaussian Sc+Sd -18.86 F 0.97 F 0.00392        
    + Schechtere dI       $-17.82\pm0.22$ -0.30 F 0.04342 0.44
Gaussian Sd/Sm -17.70 0.80 0.00287        
a For the two-wing Gaussian fits, the parameters listed in Col. labeled $\Sigma$ are $\Sigma_1$ and $\Sigma_2$ respectively.
b In units of  h3 Mpc-3 mag-1 .
c This is the "iterative fit'' obtained by iterating over varying values of $\phi_0/\phi^*$ (see text for details).
d This fit is obtained with the constraint $M^*\ge-19.43$ (see text for details).
e The values of M0 and $\Sigma$ are fixed to those obtained in the Gaussian+Schechter iterative fits (previous line),
and the value of $\alpha $ is fixed to -0.30 (see text for details).

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