Keywords:-

Keywords: Circular model, trigonometric moments, Rising Sun function, characteristic function, Stereographic Reflected Loglogistic model

Article Content:-

Abstract

The circular models based on the Rising Sun function are motivated by purely mathematical considerations as a smoothing function and possible application. This work takes a further step in this direction using several mathematical tools such as Real Analysis along with MATLAB and are applied to enlarge the horizon of Mathematical Statistics. Here an attempt is made to construct new circular model using the Rising Sun function on the Stereographic Reflected Loglogistic model and both linear and circular representations of graphs of pdf are plotted using MATLAB.

References:-

References

Girija, S.V.S., (2010), Construction of New Circular Models, VDM – VERLAG, Germany.

Jammalamadaka S. Rao and Sen Gupta, A. (2001), Topics in Circular Statistics, World Scientific Press, Singapore.

Mardia. K. V. (1972a). Statistics of Directional Data. Academic Press, London.

Mardia, K.V. and Jupp, P.E. (2000), Directional Statistics, John Wiley, Chichester.

Radhika, A.J.V., Girija, S.V.S. & Dattatreya Rao, A.V. (2013). On Rising Sun von Mises and Rising Sun Wrapped Cauchy Circular Models, Journal of the Applied Mathematics, Statistics and Informatics (JAMSI), Vol. 9, No. 2, pp. 61 – 67.

Sreekanth, Y., Phani, Y, S.V.S. Girija and A.V. Dattatreya Rao (2018). Stereographic l – axial Reflected Log – Logistic Distribution, International Journal of Mathematical Archive, 9(7), 134-141, ISSN – 2229 – 5046.

Van Rooij, A.C.M. and Schikof, W.H. (1982). A Second Course on Real Functions, Cambridge University Press, Cambridge

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Girija, S., & Sreekanth, Y. (2023). On the Rising Sun Stereographic l –Axial Reflected Log - Logistic Model. International Journal Of Mathematics And Computer Research, 11(7), 3620-3626. https://doi.org/10.47191/ijmcr/v11i7.20