Stereographic Semicircular Half Logistic Distribution Phani Yedlapalli 1 , P Srinivasa Subrahmanyam 2 , S.V.S.Girija 3 and A.V.Dattatreya Rao 4 1 Department of Basic Science, Shri Vishnu Engineering College for Women, Bhimavaram-AP. Email: phaniyedlapalli23@gmail.com 2 Environment Forests Science & Technology Department, Andhra Pradesh Secretariat, Velagapudi,India 3 Deapartment of Mathematics, Hindu College, Guntur-AP 4 Department of Statistics, Acharya Nagarjuna University, Guntur, India February 10, 2017 Abstract In this paper, we introduce Stereographic Semicircular Half Logistic distribution for modeling semicircular data by a modified inverse stereographic projection on Half Logis- tic model. We derive the first two trigonometric moments for the proposed model. Also, we state and prove some theorems that characterize the Semicircular Half Logistic distribution. AMS Subject Classification:60E05, 62H11. Key Words and Phrases: Characteristic function, Semicircular models, Stereographic projection, Trigonomet- ric moments Inter national Journal of Pure and Applied Mathematics Volume 113 No. 11 2017, 142 – 150 ISSN: 1311-8080 (printed version); ISSN: 1314-3395 (on-line version) url: http://www.ijpam.eu Special Issue ijpam.eu ijpam.eu 142 2017