%0 Journal Article %1 journals/bioinformatics/OrtellsCL93 %A Yedlapalli, Phani %A Srihari, G.V.L.N. %A S.V.S.Girija, %A Rao, A.V. Dattatreya %D 1993 %J Applied Mathematics and Sciences: An International Journal (MathSJ) %K Inverse characteristic circular function models moments parameter projection shape stereographic trigonometric %N 3 %P 65-72 %T Stereographic Circular Normal Moment Distribution %U https://airccse.com/mathsj/papers/1314mathsj05.pdf %V 1 %X Minh et al (2003) and Toshihiro Abe et al (2010) proposed a new method to derive circular distributions from the existing linear models by applying Inverse stereographic projection or equivalently bilinear transformation. 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 (Toshihiro Abe et al (2010)), the density and distribution functions of proposed model admit closed form. We provide explicit expressions for trigonometric moments.

@article{journals/bioinformatics/OrtellsCL93, abstract = {Minh et al (2003) and Toshihiro Abe et al (2010) proposed a new method to derive circular distributions from the existing linear models by applying Inverse stereographic projection or equivalently bilinear transformation. 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 (Toshihiro Abe et al (2010)), the density and distribution functions of proposed model admit closed form. We provide explicit expressions for trigonometric moments. }, added-at = {2021-12-23T09:57:51.000+0100}, author = {Yedlapalli, Phani and Srihari, G.V.L.N. and S.V.S.Girija and Rao, A.V. Dattatreya}, biburl = {https://www.bibsonomy.org/bibtex/2636733aa1cbb581e09b2a46ee161c109/journalmathsj}, ee = {https://www.wikidata.org/entity/Q48642546}, interhash = {f8be9254ab3303945c9a9c8c5042107e}, intrahash = {636733aa1cbb581e09b2a46ee161c109}, issn = {2349 - 6223}, journal = {Applied Mathematics and Sciences: An International Journal (MathSJ)}, keywords = {Inverse characteristic circular function models moments parameter projection shape stereographic trigonometric}, language = {English}, month = dec, number = 3, pages = {65-72}, timestamp = {2021-12-23T09:57:51.000+0100}, title = {Stereographic Circular Normal Moment Distribution}, url = {https://airccse.com/mathsj/papers/1314mathsj05.pdf}, volume = 1, year = 1993 }