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arXiv 1607.07046astro-ph.HEastro-ph.GA
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谱指数分布对估算AGN射电光度函数的影响

Effect of spectral index distribution on estimating the AGN radio luminosity function

Zunli Yuan, Jiancheng wang, Ming Zhou, Jirong Mao

摘要:

本文研究了谱指数分布对用蒙特卡罗方法估算活动星系核(活动星系核)射电光度函数(RLF)的影响。我们发现,传统的二元RLF估计会造成不同程度的偏差。对于谱指数分布较分散的平谱射电源,这种偏差尤其明显。我们认为,这种偏差是由于$K$修正使样本在$L-z$平面上的截断边界复杂化而引起的,而传统的二元RLF估计很难正确处理这种边界条件。我们建议,光谱指数分布应纳入RLF分析过程中,以获得一个强大的估计。这就需要一个三元函数的形式$Φ(α,z,L)$,我们显示提供了一个准确的基础,用于测量RLF。

英文摘要:

In this paper, we scrutinize the effect of spectral index distribution on estimating the AGN (active galactic nucleus) radio luminosity function (RLF) by a Monte Carlo method. We find that the traditional bivariate RLF estimators can cause bias in varying degree. The bias is especially pronounced for the flat-spectrum radio sources whose spectral index distribution is more scattered. We believe that the bias is caused because the $K$-corrections complicate the truncation boundary on the $L-z$ plane of the sample, but the traditional bivariate RLF estimators have difficulty in dealing with this boundary condition properly. We suggest that the spectral index distribution should be incorporated into the RLF analysis process to obtain a robust estimation. This drives the need for a trivariate function of the form $Φ(α,z,L)$ which we show provides an accurate basis for measuring the RLF.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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