Inverse stereographic hyperbolic secant distribution: a new symmetric circular model by rotated bilinear transformations

Simple item page
dc.contributor.authorYılmaz, Abdullah
dc.contributor.departmentOthertr_TR
dc.contributor.facultyOthertr_TR
dc.date.accessioned2022-12-21T11:24:45Z
dc.date.available2022-12-21T11:24:45Z
dc.date.issued2021
dc.description.abstractThe inverse stereographic projection (ISP), or equivalently, bilinear transformation, is a method to produce a circular distribution based on an existing linear model. By the genesis of the ISP method, many important circular models have been provided by many researchers. In this study, we propose a new symmetric unimodal/bimodal circular distribution by the rotated ISP method considering the hyperbolic secant distribution as a baseline distribution. Rotation means that fixing the origin and rotating all other points the same amount counterclockwise. Considering the effect of rotation on the circular distribution to be obtained with the bilinear transformation, it is seen that it actually induces a location parameter in the obtained circular probability distribution. We analyze some of the stochastic properties of the proposed distribution. The methods for the parameter estimation of the new circular model and the simulation-based compare results of these estimators are extensively provided by the paper. Furthermore, we compare the fitting performance of the new model according to its well-known symmetric alternatives, such as Von-Misses, and wrapped Cauchy distributions, on a real data set. From the information obtained by the analysis on the real data, we say that the fitting performance of the new distribution is better than its alternatives according to the criteria frequently used in the literature.tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage887tr_TR
dc.identifier.issn/e-issn1303-5991
dc.identifier.issue2tr_TR
dc.identifier.startpage781tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.906339tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/86298
dc.identifier.volume70tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.906339tr_TR
dc.relation.journalCommunications, Series A1:Mathematics and Statisticstr_TR
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıtr_TR
dc.subjectcircular distribution, inverse stereographic, bilinear transformation, Mobius transformation, rotationtr_TR
dc.titleInverse stereographic hyperbolic secant distribution: a new symmetric circular model by rotated bilinear transformationstr_TR
dc.typeArticletr_TR

Files

Original bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
10.31801-cfsuasmas.906339-1672914.pdf
Size:
715.16 KB
Format:
Adobe Portable Document Format
Description:
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.62 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Cilt:70 Sayı:02 (2021)