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Gamma-ray Bursts (GRBs) are highly energetic events that can be observed atextremely high redshift. However, inherent bias in GRB data due to selectioneffects and redshift evolution can significantly skew any subsequent analysis.We correct for important variables related to the GRB emission, such as theburst duration, $T_{90}^*$, the prompt isotropic energy, $E_{\rm iso}$, therest-frame end time of the plateau emission, $T_{\rm a, radio}^*$, and itscorrespondent luminosity $L_{\rm a, radio}$, for radio afterglow. Inparticular, we use the Efron-Petrosian method presented in 1992 for thecorrection of our variables of interest. Specifically, we correct $E_{\rm iso}$and $T_{90}^*$ for 80 GRBs, and $L_{\rm a, radio}$ and $T_{\rm a, radio}^*$ fora subsample of 18 GRBs that present a plateau-like flattening in their lightcurve. Upon application of this method, we find strong evolution with redshiftin most variables, particularly in $L_{\rm a, radio}$, with values similar tothose found in past and current literature in radio, X-ray and opticalwavelengths, indicating that these variables are susceptible to observationalbias. This analysis emphasizes the necessity of correcting observational datafor evolutionary effects to obtain the intrinsic behavior of correlations touse them as discriminators among the most plausible theoretical models and asreliable cosmological tools.

Accounting for Selection Bias and Redshift Evolution in GRB Radio Afterglow Data