 This paper provides a comprehensive review of hydrological drought frequency analysis methods. It discusses the use of various statistical distributions such as the Weibull, Gumbel, Loved Pearson III, Loved Logistic, Loved Normal, Pareto, Rayleigh, and Loved Normal distributions. Additionally, the authors present a detailed description of the method of ordinary moments and the method of linear moments, which can be used to estimate the parameters of these distributions. Finally, they evaluate the performance of each distribution by calculating the relative mean error and relative absolute error. This paper will be useful for hydrologists who wish to analyze hydrological droughts using frequency analysis methods. This article was authored by Christian Gabriel Onghell in Cornell, Iolinka.