Title: The Mobius distribution with spiral motion
Authors: Mohammad Arashi - Shahrood University of Technology (Iran) [presenting]
Abstract: Using the bivariate spherically symmetric beta, a family of 3-parameter distributions, namely Mobius distribution proposed long back, which has support the unit disk in two dimensions. Hence, a model for controlling orientation, the degree of concentration, and off-centeredness. The model applied to a bivariate dataset consisting ozone concentration and wind direction. However, for some purposes say, the ozone concentration divided by 120. We elaborate the use of spiral motion for Mobius distribution. It is numerically shown that by carefully selecting the parameter of the spiral, the existing model in the literature can be improved, in the sense of having smaller AIC for model selection purposes.