In this study we aimed to examine the performance of Rayleigh and Weibull distributions in relative to the distribution that will perform better in fitting the data on rainfall in Ondo State from 2005- 2019. We used method of maximum likelihood to estimate the parameters of the distributions. The distributions were compared using the criteria for selecting the best model fit such as log-likelihood function, Akaike information criterion (AIC), and Bayesian information criterion (BIC). The results obtained show that the Rayleigh distribution performed better than the Weibull distribution in comparison in terms of model fit; this indicated that the Rayleigh distribution is efficient in analyzing the rainfall data other than the Weibull distribution.

Keywords : AIC, BIC, Maximum Likelihood, Log-Likelihood, Rayleigh Distribution, Weibull Distribution.