NED Abstract 
Copyright by European Southern Observatory (ESO).
Reproduced by permission

2018A&A...617A..33A

The bivariate luminosity and mass functions of the local HRS galaxy
sample. The stellar, dust, and gas mass functions

Andreani, P.; Boselli, A.; Ciesla, L.; Vio, R.; Cortese, L.; Buat, V.;
Miyamoto, Y.

Abstract. 
Aims: We discuss the results of the relationships between the K-band and
stellar mass, FIR luminosities, star formation rate, and the masses of the
dust and gas of nearby galaxies computing the bivariate K-band-luminosity
function (BLF) and bivariate K-band-mass function (BMF) of the Herschel
Reference Survey (HRS), a volume-limited sample with full wavelength
coverage. 
Methods: We derive the BLFs and BMFs from the K-band and stellar mass,
FIR luminosities, star formation rate, dust and gas masses cumulative
distributions using a copula method, which is outlined in detail. The use
of the computed bivariate taking into account the upper limits allows us
to derive a more solid statistical ground for the relationship between the
observed physical quantities. 
Results: The analysis shows that the behaviour of the morphological
(optically selected) subsamples is quite different. A statistically
meaningful result can be obtained over the whole HRS sample only from the
relationship between the K-band and the stellar mass, while for the
remaining physical quantities (dust and gas masses, far-infrared
luminosity, and star formation rate), the analysis is distinct for
late-type (LT) and early-type galaxies (ETG). However, the number of ETGs
is small to perform a robust statistical analysis, and in most of the case
results are discussed only for the LTG subsample. The luminosity and mass
functions (LFs, MFs) of LTGs are generally dependent on the K-band and the
various dependencies are discussed in detail. We are able to derive the
corresponding LFs and MFs and compare them with those computed with other
samples. Our statistical analysis allows us to characterise the HRS which,
although non-homogeneously selected and partially biased towards low IR
luminosities, may be considered as representative of the local LT galaxy
population.

Table 1 is only available at the CDS via anonymous ftp to
http://cdsarc.u-strasbg.fr (ftp://130.79.128.5) or via
http://cdsarc.u-strasbg.fr/viz-bin/qcat?J/A+A/617/A33 

Key words: galaxies: luminosity function, mass function, methods:
statistical, methods: data analysis