Introduction of General Distributions on Sphere and Torus in View of Time Series Spectra
There are various fields where observations are taken on directions in three dimensions, e.g., sphere and torus. Herewe will introduce a very general family of distributions on sphere and torus by use of time series spectra, which includes a lot of proposed classical one as special cases. Because ti...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Bologna
2025-01-01
|
| Series: | Statistica |
| Subjects: | |
| Online Access: | https://rivista-statistica.unibo.it/article/view/18524 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832592130110914560 |
|---|---|
| author | Masanobu Taniguchi Yujie Xue |
| author_facet | Masanobu Taniguchi Yujie Xue |
| author_sort | Masanobu Taniguchi |
| collection | DOAJ |
| description | There are various fields where observations are taken on directions in three dimensions, e.g., sphere and torus. Herewe will introduce a very general family of distributions on sphere and torus by use of time series spectra, which includes a lot of proposed classical one as special cases. Because time series spectra can be described by a lot of famous parametric models, e.g., AR, ARMA etc., we can develop the systematic model selection in this field by use of AIC, BIC, etc. Applications are very wide. |
| format | Article |
| id | doaj-art-2a57b6752d9e4db39e0f57634362a46f |
| institution | Kabale University |
| issn | 0390-590X 1973-2201 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | University of Bologna |
| record_format | Article |
| series | Statistica |
| spelling | doaj-art-2a57b6752d9e4db39e0f57634362a46f2025-01-21T14:06:56ZengUniversity of BolognaStatistica0390-590X1973-22012025-01-0183321321910.6092/issn.1973-2201/1852416883Introduction of General Distributions on Sphere and Torus in View of Time Series SpectraMasanobu Taniguchi0Yujie Xue1Waseda University, Tokyo, JapanThe Institute of Statistical Mathmatics, Tokyo, JapanThere are various fields where observations are taken on directions in three dimensions, e.g., sphere and torus. Herewe will introduce a very general family of distributions on sphere and torus by use of time series spectra, which includes a lot of proposed classical one as special cases. Because time series spectra can be described by a lot of famous parametric models, e.g., AR, ARMA etc., we can develop the systematic model selection in this field by use of AIC, BIC, etc. Applications are very wide.https://rivista-statistica.unibo.it/article/view/18524distributions on sphere and torustime series spectraar, arma modelsmodel selection |
| spellingShingle | Masanobu Taniguchi Yujie Xue Introduction of General Distributions on Sphere and Torus in View of Time Series Spectra Statistica distributions on sphere and torus time series spectra ar, arma models model selection |
| title | Introduction of General Distributions on Sphere and Torus in View of Time Series Spectra |
| title_full | Introduction of General Distributions on Sphere and Torus in View of Time Series Spectra |
| title_fullStr | Introduction of General Distributions on Sphere and Torus in View of Time Series Spectra |
| title_full_unstemmed | Introduction of General Distributions on Sphere and Torus in View of Time Series Spectra |
| title_short | Introduction of General Distributions on Sphere and Torus in View of Time Series Spectra |
| title_sort | introduction of general distributions on sphere and torus in view of time series spectra |
| topic | distributions on sphere and torus time series spectra ar, arma models model selection |
| url | https://rivista-statistica.unibo.it/article/view/18524 |
| work_keys_str_mv | AT masanobutaniguchi introductionofgeneraldistributionsonsphereandtorusinviewoftimeseriesspectra AT yujiexue introductionofgeneraldistributionsonsphereandtorusinviewoftimeseriesspectra |