Abstract In our study, we analyze four peculiar Gamma-Ray Bursts (GRBs), namely GRB070724A, GRB070429B, GRB090426, and GRB120804A, all detected by the Swift space telescope. The focus of our investigation lies in evaluating the temporal estimators, such as emission time and spectral lag time in the third Swift GRB catalog sample. Our findings reveal that the calculated temporal estimators offer diverse insights into the classification of the examined GRBs, hinting at the distinctive nature of these events. This suggests that these GRBs can be considered as ‘peculiar’ when compared to standard GRBs in the spectral plane, specifically in the Amati-like relation. Whereas, the spectral lag analysis of the four GRBs increases the evidence to consider these as ‘peculiar’.