Regression Modeling of Spherical Data via Non-parametric and Least Square Methods

Statistical analysis of the data on the Earth's surface was a popular subject among many researchers. Such data can be related to animal's migration from a region to another position. Then, statistical modeling of their paths helps biological researchers to predict their movements and estimate the regions that are most likely to constitute the presence of the animals. To study such typical phenomena, statistical modeling of the objects’ movement path on the earth is considered through non-parametric and least square methods in this paper. The modeling is based on two separated angles on the sphere. The proposed models will be evaluated using simulated and real life data.