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Table 2.
Comparison of a lognormal, tailed lognormal, inverse Gamma and Weibull distribution.
Distribution name | Functional | Best fit values | BIC | AICc | |
---|---|---|---|---|---|
LogNormal | μln = (0.08 ± 0.04) | 2*1.69 | 2*52.4 | 2*46.1 | |
σln = (0.77 ± 0.03) | |||||
μln = ( − 0.21 ± 0.23) | |||||
LogNormal + Tail | σln = (0.53 ± 0.13) | 2*0.63 | 2*29.2 | 2*17.4 | |
α = (2.08 ± 0.12) | |||||
xmin = (1.1 ± 1.9) | |||||
Inverse Gamma | α = (1.76 ± 0.14) | 2*0.57 | 2*22.1 | 2*15.8 | |
β = (1.49 ± 0.14) | |||||
Inverse Weibull | βαβx(β + 1)e( − (α/x)β) | α = (0.78 ± 0.03) | 2*0.44 | 2*18.7 | 2*12.4 |
β = (1.41 ± 0.07) |
Notes. The table lists: name, functional, best fit values, χ2, Bayesian Information Criterion (BIC) and the small sample corrected Akaike Information Criterion (AICc). The dimensionless parameters describing flux densities are in mJy.
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