Distributions that are both log-symmetric and R-symmetric
| dc.creator | Jones, M. C. | |
| dc.creator | Arnold, Barry C. | |
| dc.date | 2008-10-01 | |
| dc.date | 2008-12-22 | |
| dc.date.accessioned | 2026-07-07T12:20:47Z | |
| dc.date.available | 2026-07-07T12:20:47Z | |
| dc.description | Two concepts of symmetry for the distributions of positive random variables $Y$ are log-symmetry (symmetry of the distribution of $\log Y$) and R-symmetry [7]. In this paper, we characterise the distributions that have both properties, which we call doubly symmetric. It turns out that doubly symmetric distributions constitute a subset of those distributions that are moment-equivalent to the lognormal distribution. They include the lognormal, some members of the Berg/Askey class of distributions, and a number of others for which we give an explicit construction (based on work of A.J. Pakes) and note some properties; Stieltjes classes, however, are not doubly symmetric. | |
| dc.description | Published in at http://dx.doi.org/10.1214/08-EJS301 the Electronic Journal of Statistics (http://www.i-journals.org/ejs/) by the Institute of Mathematical Statistics (http://www.imstat.org) | |
| dc.identifier | https://arxiv.org/abs/0810.0102 | |
| dc.identifier | http://arxiv.org/abs/0810.0102 | |
| dc.identifier | Electronic Journal of Statistics 2008, Vol. 2, 1300-1308 | |
| dc.identifier | doi:10.1214/08-EJS301 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/213166 | |
| dc.subject | Statistics Theory | |
| dc.subject | 62E10 (Primary) 60E05 (Secondary) | |
| dc.title | Distributions that are both log-symmetric and R-symmetric | |
| dc.type | text |