On Trigonometric Moments of the Stereographic Semicircular Gamma Distribution

Authors

  • Phani Yedlapalli SHRI VISHNU ENGINEERING COLLEGE FOR WOMEN
  • A.J.V.adhika Radhika College of Engineering ANU
  • S.V.S Girija Hindu College
  • A.V. Dattatreya Rao ANU

Keywords:

circular model, l- axial data, Meijer’s G- function, semicircular models, stereographic projection and trigonometric moments.

Abstract

Phani (2013) constructed a good number of circular and semicircular models induced by inverse stereographic projection. Minh and Farnum (2003) and Toshihiro Abe et al (2010) proposed a new method to derive circular distributions from the existing linear models. In this paper, a new semicircular model, which is coined as Stereographic Semicircular Gamma distribution is derived by inducing modified inverse stereographic projection on Gamma distribution. This distribution generalizes Stereographic Semicircular Exponential model (Phani et al (2013)) and the density and distribution functions of proposed model admit closed form. Explicit expressions for trigonometric moments are derived by applying Meijer’s G- function and the new semicircular model is extended to construct Stereographic l- axial Gamma distribution.

Author Biographies

Phani Yedlapalli, SHRI VISHNU ENGINEERING COLLEGE FOR WOMEN

A.J.V.adhika Radhika, College of Engineering ANU

S.V.S Girija, Hindu College

A.V. Dattatreya Rao, ANU

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How to Cite

Yedlapalli, P., Radhika, A., Girija, S., & Dattatreya Rao, A. (2017). On Trigonometric Moments of the Stereographic Semicircular Gamma Distribution. European Journal of Pure and Applied Mathematics, 10(5), 1124–1134. Retrieved from https://www.ejpam.com/index.php/ejpam/article/view/2677