Abstract
When the unit circle is taken as a sample space, the circular data manifest in different aspects of real life. Minh and Farnum (2003) used a stereographic projection to generate new probability distributions on real line [1]. Here, we present an asymmetric distribution called Stereographic generalized inverse Weibull distribution (SGIWD) to represent circular data with focus on the inverse Stereographic Projection. The graph of probability density function is done. We consider here some statistical properties of SGIW distribution, survival and reverse hazard functions, the rth raw moments function, trigonometric moments, stress-strength reliability model, Tsallis, Renyi Shannon entropies and the Kullback–Leibler divergence measure. A simulation study is conducted to evaluate the behavior of the maximum likelihood method to estimate parameters of SGIWD.
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