We reconstruct in this paper the deceleration and jerk parameters as functions of the cosmological redshift from data on cosmic chronometers ( CCH ) , baryon acoustic oscillations ( BAOs ) , and the Pantheon+MCT compilation of supernovae of Type Ia ( SnIa ) .
The reconstruction is carried out with the Weighted Function Regression method , previously introduced by Gómez-Valent & Amendola ( 2018 ) .
It improves the usual cosmographic approach by automatically implementing Occam ’ s razor criterion .
This makes our procedure to be more free of model and parametrization dependencies than many other analyses in the literature .
The reconstructed functions are fully compatible with the predictions for the concordance model .
In addition , we also discuss the confidence level at which we can claim that the Universe ( assumed to be flat , homogeneous and isotropic ) is currently accelerating .
According to Jeffreys ’ scale and jargon , we find moderate evidence in favor of such speed-up using the data on SnIa+CCH , and very strong one when we also use data on BAOs .
The measured current value of the deceleration parameter in the latter case reads q _ { 0 } \sim - 0.60 \pm 0.10 , and for the deceleration-acceleration transition redshift we find z _ { t } \sim 0.80 \pm 0.10 .
The former is \sim 6 \sigma away from 0 .
This is in stark contrast , for instance , with the \sim 17 \sigma that are found in the context of the flat \Lambda CDM even without including the BAOs data .
This indicates that cosmography and Occam ’ s razor criterion play a crucial role in this discussion , and that estimating the evidence for positive acceleration only in the framework of a particular cosmological model or parametrization is clearly insufficient .