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Galaxy Luminosity Function:
Applications and Cosmological Implications
T. T. Takeuchi et al.
Nagoya University, JAPAN
Galaxy luminosity function (LF) is one of the most fundamental
statistical properties in observational cosmology. For example, LF
plays a crucial role in the clustering analysis of a redshift survey.
The LF of galaxies are also important in measuring the amount
of luminous matter in the Universe, which is strongly dependent
on the cosmological parameters.
We studied the statistical methods for the estimation of the
LF of galaxies. We focused on four nonparametric estimators:
1=Vmax estimator, maximum-likelihood estimator of Efstathiou et
al. (1988), Cho loniewski's estimator, and improved Lynden-Bell's
estimator and extensively studied their performances by Monte
Carlo simulations. We then applied these estimation methods
to the mock 2dF redshift survey catalog prepared by Cole et al.
(1998). After we examine their performance and limitation, we
analyzed the photometric redshift data of the Hubble Deep Field
prepared by Fernandez-Soto et al. (1999) using the above four
methods. We also derived luminosity density L at B- and I-
band. Based on these properties, we discuss the constraint on the
epoch of galaxy formation.
Co-authors: K. Yoshikawa and T. T. Ishii
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