Some properties of the proportional odds model
Volume 37 / 2010
Applicationes Mathematicae 37 (2010), 247-256
MSC: 60E05, 60E15, 62N05.
DOI: 10.4064/am37-2-9
Abstract
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.
