International Journal of Advances in Applied Sciences
Vol 2, No 3: September 2013

On Stereographic Lognormal Distribution

S.V.S. Girija (Hindu College, Guntur)
A.V. Dattatreya Rao (Acharya Nagarjuna University, Guntur)
Phani Yedlapalli (Swarnandhra College of Engineering and Technology, Narasapur)



Article Info

Publish Date
01 Sep 2013

Abstract

Circular data arise in various walks of life, where we consider the unit circle to be the sample space. Minh &Farnum (2003) developed that Mobius transformation or Stereographic projection is applied to generate probability distributions on real line. We derive an asymmetric distribution called Stereographic Lognormal distribution to model circular data with an emphasis on the Inverse Stereographic Projection. The graphs of probability density function, cumulative distribution function and characteristic function are drawn. Since Stereographic Lognormal distribution is an asymmetric, a complex-valued characteristic function is derived and population characteristics are also studied. Goodness of fit is verified for the data Set of cross – bed azimuths of palaeocurrents of size 40 which contains angular data.

Copyrights © 2013






Journal Info

Abbrev

IJAAS

Publisher

Subject

Earth & Planetary Sciences Environmental Science Materials Science & Nanotechnology Mathematics Physics

Description

International Journal of Advances in Applied Sciences (IJAAS) is a peer-reviewed and open access journal dedicated to publish significant research findings in the field of applied and theoretical sciences. The journal is designed to serve researchers, developers, professionals, graduate students and ...