The Library
Modelling directional dispersion through hyperspherical log-splines
Tools
Steel, Mark F. J. and Ferreira, Jose T. A. S. (2005) Modelling directional dispersion through hyperspherical log-splines. Royal Statistical Society. Journal. Series B: Statistical Methodology, 67 (4). 599 -616. ISSN 1369-7412.
Research output not available from this repository.
Request-a-Copy directly from author or use local Library Get it For Me service.
Official URL: http://doi.org/10.1111/j.1467-9868.2005.00518.x
Abstract
We introduce the directionally dispersed class of multivariate distributions, a generalization of the elliptical class. By allowing dispersion of multivariate random variables to vary with direction it is possible to generate a very wide and flexible class of distributions. Directionally dispersed distributions have a simple form for their density, which extends a spherically symmetric density function by including a function D modelling directional dispersion. Under a mild condition, the class of distributions is shown to preserve both unimodality and moment existence. By adequately defining D, it is possible to generate skewed distributions. Using spline models on hyperspheres, we suggest a very flexible, yet practical, implementation for modelling directional dispersion in any dimension. Finally, we use the new class of distributions in a Bayesian regression set-up and analyse the distributions of a set of biomedical measurements and a sample of US manufacturing firms.
Item Type: | Journal Article | ||||
---|---|---|---|---|---|
Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Statistics | ||||
Journal or Publication Title: | Royal Statistical Society. Journal. Series B: Statistical Methodology | ||||
Publisher: | Wiley-Blackwell Publishing Ltd. | ||||
ISSN: | 1369-7412 | ||||
Official Date: | 16 August 2005 | ||||
Dates: |
|
||||
Volume: | 67 | ||||
Number: | 4 | ||||
Page Range: | 599 -616 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Date of first compliant deposit: | 2 November 2017 | ||||
Funder: | Portugal. Fundação para a Ciência e a tecnologia [Foundation for Science and Technology] (FCT) | ||||
Grant number: | SFRHBD1399 2000 |
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |