Estimation and testing of an angular regression model with the Von-Mises distribution error for circular data

The study of circular variables is one of the important processes in our present time because of the phenomena that are described in this way. Therefore, the study included the use of a simple angular regression model with an error that follows a circular distribution, which is the Von Mises distribution, and estimating the parameters in the greatest possible way, and testing the quality of reconciliation of the model in general by proposing a test that depends mainly on the Fisher distribution . This was applied to two circular variables, the wind direction in the city of Nasiriyah as a dependent variable and the direction of high atmospheric pressure as an independent variable. The results showed that the model represented the data correctly by passing the estimated model to test the quality of reconciliation, and that the relationship between the direction of high atmospheric pressure and the direction of the wind in the city of Nasiriyah is a direct relationship, i. The city of Nasiriyah and the smaller the angle measure in the direction of the high atmospheric pressure, the lower it is in the city of Nasiriyah.