Currently, one of the most important unanswered questions in astrophysics and nuclear astrophysics is the ‘‘Lithium problem’’, which refers to the mismatch between the experimental and theoretical values of lithium abundance in Big-Bang nucleosynthesis. Finding a solution for this problem and making a match between these two values can be another proof to one of three pillars of the Big Bang theory, and can also help to improve the calculating method of the existing nuclei abundance. One of the newest used methods so as to calculate the reaction rates is the Bayesian method. This study focuses on the details of the Bayesian statistics application in astrophysical calculations, and a narrative review of all the performed studies in this field is presented, as well. This study, after reviewing all the studies in this field, considers the mentioned method as a new method for reaction rate and nuclei cross-sectional calculations, which leads to small but valuable improvements in the results of the previous calculations.
