A+ CATEGORY SCIENTIFIC UNIT

Some properties of the proportional odds model

Volume 37 / 2010

Magdalena Benduch-Frąszczak 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.

Authors

  • Magdalena Benduch-FrąszczakMathematical Institute
    University of Wrocław
    Pl. Grunwaldzki 2/4
    50-384 Wrocław, Poland
    e-mail

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