ABSTRACT
Smooth and bijective mapping called stereographic projection is a mapping that projects a sphere onto a plane. The projection is defined on the entire sphere, except at the projection point. Its 2D version can be seen as the mapping that projects a circle onto a line.
This chapter deals with construction of new circular models invoking stereographic projection called stereographic logistic distribution (SLD), stereographic double Weibull distribution (SDWD), stereographic lognormal distribution (SLND), stereographic extreme-value distribution (SEVD), stereographic reflected gamma distribution (SRGD). These are constructed by inducing planar inverse stereographic projection. However, in practice, they are referred to as the stereographic circular models. Having constructed the new stereographic circular models, graphs of pdf, cdf and characteristic function of the above distributions are depicted mentioning the chief nature of the population characteristics.
