Marshall and Olkin (1997) introduced a new family of distributions by adding a tilt parameter. The same family was obtained by Kirmani and Gupta (2001) as the proportional odds model, which had been proposed by Clayton (1974). In this paper, stochastic ordering of distributions from this class and preservation of classes of life distributions by adding a parameter are obtained. The proportional odds family is also considered as a family of weighted distributions.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am37-2-9,
author = {Magdalena Benduch-Fr\k aszczak},
title = {Some properties of the proportional odds model},
journal = {Applicationes Mathematicae},
volume = {37},
year = {2010},
pages = {247-256},
zbl = {1194.60021},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am37-2-9}
}
Magdalena Benduch-Frąszczak. Some properties of the proportional odds model. Applicationes Mathematicae, Tome 37 (2010) pp. 247-256. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am37-2-9/