On Characteristic Function of Stereographic Circular Normal Moment Distribution

  • Unique Paper ID: 180799
  • PageNo: 3570-3575
  • Abstract:
  • Minh et al (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 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 (Akin Olosunde et al (2008)), the density and distribution functions of proposed model admit closed form. We provide explicit expressions for trigonometric moments.

Copyright & License

Copyright © 2026 Authors retain the copyright of this article. This article is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

BibTeX

@article{180799,
        author = {DR. Y. SREEKANTH and DR. S.V.S. GIRIJA},
        title = {On Characteristic Function of Stereographic Circular Normal Moment Distribution},
        journal = {International Journal of Innovative Research in Technology},
        year = {2025},
        volume = {12},
        number = {1},
        pages = {3570-3575},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=180799},
        abstract = {Minh et al (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 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 (Akin Olosunde et al (2008)), 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.},
        month = {June},
        }

Cite This Article

SREEKANTH, D. Y., & GIRIJA, D. S. (2025). On Characteristic Function of Stereographic Circular Normal Moment Distribution. International Journal of Innovative Research in Technology (IJIRT), 12(1), 3570–3575.

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