Two model-independent methods applied to latest SN and BAO data find the cosmic distance duality relation consistent with observations within 1 sigma and no evidence of violation.
Fits, and especially linear fits, with errors on both axes, extra variance of the data points and other complications
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abstract
The aim of this paper, triggered by some discussions in the astrophysics community raised by astro-ph/0508529, is to introduce the issue of `fits' from a probabilistic perspective (also known as Bayesian), with special attention to the construction of model that describes the `network of dependences' (a Bayesian network) that connects experimental observations to model parameters and upon which the probabilistic inference relies. The particular case of linear fit with errors on both axes and extra variance of the data points around the straight line (i.e. not accounted by the experimental errors) is shown in detail. Some questions related to the use of linear fit formulas to log-linearized exponential and power laws are also sketched, as well as the issue of systematic errors.
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2026 4representative citing papers
GRB 250706B/C exhibits temporal features consistent with fallback-regulated accretion operating on a high-luminosity branch in a collapsar.
Larger sample of 244 GRBs with Combo correlation shifts best-fit anisotropy longitude by 54° from Pantheon-only result and deviates >1σ in hemisphere method, unlike smaller A118 sample, indicating potential to reduce fake signals from inhomogeneous distributions.
Cosmographic Taylor and Padé models fitted to Pantheon+SH0ES+GRB+DESI BAO data yield redshift drift predictions compatible with ΛCDM and ω0ω1CDM at 1-2σ, with mock drift data tightening q0 and j0 bounds.
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Model-independent test of the cosmic distance duality relation with recent observational data
Two model-independent methods applied to latest SN and BAO data find the cosmic distance duality relation consistent with observations within 1 sigma and no evidence of violation.
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GRB 250706B/C: Insight-HXMT Discovery of a High-Luminosity Burst as a Candidate for Fallback-Regulated Accretion in the Prompt Emission
GRB 250706B/C exhibits temporal features consistent with fallback-regulated accretion operating on a high-luminosity branch in a collapsar.