Stereographic Circular Normal Moment Distribution

Phani Yedlapalli1, G.V.L.N. Srihari2, S.V.S.Girija3 and A.V. Dattatreya Rao4, 

1Swarnandhra College of Engineering and Technology, India,  2Aurora Engineering College, India, 

3Hindu College, India and 4Acharya Nagarjuna University, India

ABSTRACT

Minh et al (2003) and Toshihiro Abe et al (2010) proposed a new method to derive circular distributions from the existing linear models by applying Inverse stereographic projection or equivalently bilinear transformation. In this paper, a new circular model, we call it as stereographic circular normal moment distribution, is derived by inducing modified inverse stereographic projection on normal moment distribution (Akin Olosunde et al (2008)) on real line. This distribution generalizes stereographic circular normal distribution (Toshihiro Abe et al (2010)), the density and distribution functions of proposed model admit closed form. We provide explicit expressions for trigonometric moments. 

KEYWORDS

characteristic function, circular models, Inverse stereographic projection, shape parameter, trigonometric moments.

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