Baker, RD 
ORCID: https://orcid.org/0000-0003-3555-3425
2008,
'Probabilistic applications of the Schlomilch transformation'
, Communications in Statistics - Theory and Methods, 37 (14)
, pp. 2162-2176.
Abstract
The Schlömilch transformation, long used by mathematicians for integral evaluation, allows probability mass to be redistributed, thus transforming old distributions to new ones. The transformation is used to introduce some new families of distributions on +. Their general properties are studied, i.e., distributional shape and skewness, moments and inverse moments, hazard function, and random number generation. In general, these distributions are suitable for modeling data where the hazard function initially rises steeply. Their usefulness is illustrated by fitting some human weight data. Besides data fitting, one possible use of the new distributions could be in sensitivity or robustness studies, for example as Bayesian prior distributions.
| Item Type: | Article |
|---|---|
| Themes: | Subjects outside of the University Themes |
| Schools: | Schools > Salford Business School > Salford Business School Research Centre |
| Journal or Publication Title: | Communications in Statistics - Theory and Methods |
| Publisher: | Taylor & Francis |
| Refereed: | Yes |
| ISSN: | 0361-0926 |
| Depositing User: | Prof Rose Dawn Baker |
| Date Deposited: | 24 Nov 2011 11:52 |
| Last Modified: | 27 Aug 2021 22:49 |
| URI: | http://usir.salford.ac.uk/id/eprint/19015 |
Actions (login required)
 |
Edit record (repository staff only) |
Tools
Tools