Semicircular Logistic Distribution induced by Simple Projection Method

Abstract

For modeling Semicircular data, here we introduce Semicircular Logistic distribution by applying a Simple projection method on Logistic model. We extend it to the -axial Logistic distribution by a Simple projection for modeling angular data on any arc of arbitrary length. Also derive the characteristic function and the first four trigonometric moments for the evaluation of population characteristics of proposed model. A bivariate version of l-axial Logistic distribution is also developed.

Keywords: Circular model, Characteristic function, l-axial data, Projection, Trigonometric moments.