arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1102.4829astro-ph.CO
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早型星系光度函数的顺序统计量

Order statistics of the early-type galaxy luminosity function

Laszlo Dobos, Istvan Csabai

摘要:

我们应用顺序统计量(OS)的亮端($M_r < -22$)的光度分布的早期型星系的光谱确定的SDSS DR 7目录。我们计算这种分布的典型OS数量的数值,测量的期望值和方差的$k^{th}$最明亮的星系在一个样本的基数$N$在一个大的合奏这样的样本。从这些统计量,我们解释了为什么和在什么限制$k^{th}$最明亮的星系可以作为标准蜡烛宇宙学研究。由于我们的样本包含所有明亮的星系,包括最亮的星系团(BCG),基于OS,我们认为,BCGs可以被认为是一个完善的Schechter光度分布的统计极值时,星系的红移,而不是集群集群。我们推测这背后的原因可能是星系团中明亮的红色椭圆星系是\em,而不是整体光度分布的随机\em样本,而是由于它们位于包含BCG的星系团中而产生偏差。我们表明,一个简单的统计玩具模型可以重现著名的BCG和第二亮星系团之间的星等差距。

英文摘要:

We apply order statistics (OS) to the bright end ($M_r < -22$) of the luminosity distribution of early-type galaxies spectroscopically identified in the SDSS DR7 catalog. We calculate the typical OS quantities of this distribution numerically, measuring the expectation value and variance of the $k^{th}$ most luminous galaxy in a sample with cardinality $N$ over a large ensemble of such samples. From these statistical quantities we explain why and in what limit the $k^{th}$ most luminous galaxies can be used as standard candles for cosmological studies. Since our sample contains all bright galaxies including the brightest cluster galaxies (BCG), based on OS we argue that BCGs can be considered as statistical extremes of a well-established Schechter luminosity distribution when galaxies are binned by redshift and not cluster-by-cluster. We presume that the reason behind this might be that luminous red ellipticals in galaxy clusters are \em not random \em samples of an overall luminosity distribution but biased by the fact that they are in a cluster containing the BCG. We show that a simple statistical toy model can reproduce the well-known magnitude gap between the BCG and the second brightest galaxy of the clusters.

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