Coming together of Bayesian inference and skew spherical data
| dc.contributor.author | Nakhaei Rad, Najmeh | |
| dc.contributor.author | Bekker, Andriette, 1958- | |
| dc.contributor.author | Arashi, Mohammad | |
| dc.contributor.author | Ley, Christophe | |
| dc.date.accessioned | 2022-07-25T08:48:11Z | |
| dc.date.available | 2022-07-25T08:48:11Z | |
| dc.date.issued | 2022-02-08 | |
| dc.description.abstract | This paper presents Bayesian directional data modeling via the skew-rotationally-symmetric Fisher-von Mises-Langevin (FvML) distribution. The prior distributions for the parameters are a pivotal building block in Bayesian analysis, therefore, the impact of the proposed priors will be quantified using the Wasserstein Impact Measure (WIM) to guide the practitioner in the implementation process. For the computation of the posterior, modifications of Gibbs and slice samplings are applied for generating samples. We demonstrate the applicability of our contribution via synthetic and real data analyses. Our investigation paves the way for Bayesian analysis of skew circular and spherical data. | en_US |
| dc.description.department | Statistics | en_US |
| dc.description.librarian | dm2022 | en_US |
| dc.description.sponsorship | The Visiting Professor programme, University of Pretoria and the National Research Foundation (NRF) of South Africa, SARChI Research Chair and DSINRF Centre of Excellence in Mathematical and Statistical Sciences (CoE-MaSS), South Africa. | en_US |
| dc.description.uri | https://www.frontiersin.org/journals/big-data | en_US |
| dc.identifier.citation | Nakhaei Rad N, Bekker A, Arashi M and Ley C (2022) Coming Together of Bayesian Inference and Skew Spherical Data. Frontiers in Big Data 4:769726. doi: 10.3389/fdata.2021.769726. | en_US |
| dc.identifier.issn | 2624-909X (online) | |
| dc.identifier.other | 10.3389/fdata.2021.769726 | |
| dc.identifier.uri | https://repository.up.ac.za/handle/2263/86420 | |
| dc.language.iso | en | en_US |
| dc.publisher | Frontiers Media S.A. | en_US |
| dc.rights | © 2022 Nakhaei Rad, Bekker, Arashi and Ley. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). | en_US |
| dc.subject | Fisher-von Mises-Langevin distribution | en_US |
| dc.subject | Gibbs sampling | en_US |
| dc.subject | Skew-rotationally-symmetric distributions | en_US |
| dc.subject | Slice sampler | en_US |
| dc.subject | Spherical data | en_US |
| dc.subject | Wasserstein Impact Measure | en_US |
| dc.subject | Wasserstein impact measure (WIM) | en_US |
| dc.subject | Markov chain Monte Carlo (MCMC) | en_US |
| dc.title | Coming together of Bayesian inference and skew spherical data | en_US |
| dc.type | Article | en_US |