<abstract xmlns="http://www.w3.org/1999/xhtml"><p>This paper introduces Stereographic Double Exponential Model based on inverse Stereographic Projection or Bilinear (Mobius) Transformation, [Minh and Farnum (2003)]. onsidering the data set of 13 homing pigeons were released singly in the Toggenburg Valley in Switzerland under sub Alpine conditions (data quoted in Batschelet (1981)), it is shown that the said model is a good fit by most of the tests at various level of significance. The derivation of the characteristic function for Stereographic Double Exponential Model and its trigonometric moments are presented. Relative performance of Stereographic Logistic [Phani (2013], Wrapped Logistic [Dattatreya Rao et al (2007)] and Stereographic Double Exponential models for the live data of 13 birds is studied. Also graphs of pdf of this new Model for various combinations of the parameters are drawn.</p></abstract>

This paper introduces Stereographic Double Exponential Model based on inverse Stereographic Projection or Bilinear (Mobius) Transformation, [Minh and Farnum (2003)]. onsidering the data set of 13 homing pigeons were released singly in the Toggenburg Valley in Switzerland under sub Alpine conditions (data quoted in Batschelet (1981)), it is shown that the said model is a good fit by most of the tests at various level of significance. The derivation of the characteristic function for Stereographic Double Exponential Model and its trigonometric moments are presented. Relative performance of Stereographic Logistic [Phani (2013], Wrapped Logistic [Dattatreya Rao et al (2007)] and Stereographic Double Exponential models for the live data of 13 birds is studied. Also graphs of pdf of this new Model for various combinations of the parameters are drawn.

New Circular model induced by Inverse Stereographic projection on Double Exponential Model - Application to Birds Migration Data

Associate Professor of Mathematics Hindu College Guntur-A.P, INDIA.

Professor of Statistics Acharya Nagarjuna University, Guntur-A.P, INDIA

Associate Professor of Mathematics Swarnandhra College of Engineering and Technology Narasapur-534275, A.P, INDIA

Journal of Applied Mathematics, Statistics and Informatics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

This paper introduces Stereographic Double Exponential Model based on inverse Stereographic Projection or Bilinear (Mobius) Transformation, [Minh and Farnum...

New Circular model induced by Inverse Stereographic projection on Double Exponential Model - Application to Birds Migration Data

Published Online: Jul 15, 2014

Page range: 5 - 17

DOI: https://doi.org/10.2478/jamsi-2014-0001

Keywords
Characteristic function, Circular models, goodness - of - fit, Inverse Stereographic Projection, Trigonometric moments

© 2014 Faculty of Natural Sciences, University of Saint Cyril and Metodius

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

New Circular model induced by Inverse Stereographic projection on Double Exponential Model - Application to Birds Migration Data

Published Online: Jul 15, 2014

Page range: 5 - 17

DOI: https://doi.org/10.2478/jamsi-2014-0001

KeywordsCharacteristic function, Circular models, goodness - of - fit, Inverse Stereographic Projection, Trigonometric moments

© 2014 Faculty of Natural Sciences, University of Saint Cyril and Metodius

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Characteristic function, Circular models, goodness - of - fit, Inverse Stereographic Projection, Trigonometric moments