Measuring the giant radio galaxy length distribution with the LoTSS

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Volume 672 (April 2023)

A&A, 672 (2023) A163

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Table E.1.

Maximum likelihood estimate (MLE) and likelihood mean and standard deviation (SD) estimates of the free parameters in intrinsic GRG length distribution inference.¹

z_max = 0.5

parameter	MLE	likelihood mean and SD
ξ	−2.15	−3.4 ± 0.5
	1.7′	1.9 ± 0.3′
b_ν, ref	90 Jy deg⁻²	660 ± 400 Jy deg⁻²
σ_ref	1.35	1.2 ± 0.2

z_max = 0.25

parameter	MLE	likelihood mean and SD

ξ	−2.2	−3.5 ± 0.4
	2.25′	1.7 ± 0.3′
b_ν, ref	150 Jy deg⁻²	1050 ± 560 Jy deg⁻²
σ_ref	1.25	1.4 ± 0.4

The model assumes ξ is constant for z ∈ [0, z_max]. We determined the likelihood function twice: for z_max = 0.5, using 1473 giants, and for z_max = 0.25, using 811 giants. We caution that, in this case, the MLE parameters are a poor measure of central tendency.

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