This paper proposes a case study for estimating rain attenuation from rainfall data collected in Brasilia, Brazil at THz frequencies using Mie Theory and Drop Size Distribution (DSD). To address this goal, we used measured rainfall rate data from the past 19 years collected at the National Institute of Meteorology (INMET). A statistical approach that uses Monte Carlo (MC) simulation and Unscented Transform (UT) was applied to obtain a reasonable estimation of rainfall attenuation in the terahertz spectrum. To evaluate the accuracy of the method, we performed a comparison between the rain attenuation calculated by Mie Theory and ITU-R recommendation. Also, a comparison between MC and UT were made to analyze the accuracy of the estimations. The results calculated in this work showed that the mean attenuation varies from 1.918 to 2.66 dB/km. For rain events higher than 10 mm/h, results showed that the mean attenuation varies from 8.53 to 15.96 dB/km.
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