Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effect of spectral index distribution on estimating the AGN radio
  luminosity function   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
$\Phi(\alpha,z,L)$ which we show provides an accurate basis for measuring the
RLF.

27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph