Availability is the key parameter in the communication systems design. In radio system many factors impact the availability, including fading, additional loss, external interference and equipment availability. The rain attenuation is the main impairments in systems operating at frequencies above 10 GHz. The rain is a random phenomenon that is highly variable in space and time. Several theoretical and semi-empirical models have been proposed in the literature as the growing use of higher frequencies in the microwave range. The main difference between the models is the way to represent the rain variation effect on electromagnetic waves. This work investigates the meteorological parameters direction and speed of wind influence in modeling. Two semi-empirical models are developed based on attenuation and rainfall rates cumulative distributions available at International Telecommunication Union (ITU-R) database. ITU-R testing criteria shows that the obtained models have superior performance compared to currently recommended models for rain attenuation prediction. In another line of investigation, a statistically consistent model to predict attenuation distribution from the complementary cumulative distribution of rainfall rate was developed. The attenuation cumulative distribution was obtained from rainfall rate and rain attenuation physical relationship assumption. ITU-R testing criteria show that the obtained model has results comparable with Recommendations ITU-R models.