Abstract
Fast Radio Bursts (FRBs) have remained an enigmatic cosmic radiation phenomenon with an elusive origin and the question of their potential association with Gamma-Ray Bursts (GRBs) requires further examination. Some of recent studies have indicated a lack of observable data correlation between GRBs and FRBs. This may be attributed to the inadequacy of the currently available datasets, underscoring the necessity for comprehensive data integration from multiple projects. This paper undertakes an analysis of recent hypotheses positing a correlation between FRBs and GRBs. To substantiate these hypotheses, the study compares 680 FRB signal datasets provided by CHIME and FRBCAT with a total of 2975 GRB datasets from Fermi, Swift, and HESS. The objective is to identify correlated FRB-GRB signal pairs. However, it is essential to note that many of the newly collected GRB signals lack crucial measurements, such as afterglow data and redshift values. Consequently, to establish a more robust correlation between specific FRBs and GRBs, additional data collection and subsequent analysis are imperative. In conclusion, this paper summarizes and discusses methods for observing the redshift of subsequent GRBs and presents models for inferring redshift through FRB dispersion. Additionally, it analyzes the temporal distribution of the approximately 109 correlated data points, providing insights into the timing of these cosmic events.
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