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Bivariate distributions with conditionals satisfying the proportional generalized odds rate model

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Abstract

New bivariate models are obtained with conditional distributions (in two different senses) satisfying the proportional generalized odds rate (PGOR) model. The PGOR semi-parametric model includes as particular cases the Cox proportional hazard rate (PHR) model and the proportional odds rate (POR) model. Thus the new bivariate models are very flexible and include, as particular cases, the bivariate extensions of PHR and POR models. Moreover, some well known parametric bivariate models are also included in these general models. The basic theoretical properties of the new models are obtained. An application to fit a real data set is also provided.

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Acknowledgments

The authors would like to thank the anonymous reviewer for his/her helpful comments. JN is partially supported by Ministerio de Economía y Competitividad under grant MTM2012-34023-FEDER and Fundación Séneca of C.A.R.M. under grant 08627/PI/08. MA is partially supported by the “Ordered and Spacial Data Center of Excellence of Ferdowsi University of Mashhad”. JMS is partially supported by Ministerio de Economía y Competitividad under grants ECO2010-15455 and ECO2013-48326-C2-2-P. ME is grateful to the office of Graduate Studies of the University of Isfahan for their support.

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Authors and Affiliations

  1. Facultad de Matemáticas, Universidad de Murcia, 30100, Murcia, Spain

    J. Navarro

  2. University of Isfahan, Isfahan, Iran

    M. Esna-Ashari & M. Asadi

  3. Universidad de Cantabria, Santander, Spain

    J. M. Sarabia

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  1. J. Navarro
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  2. M. Esna-Ashari
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  3. M. Asadi
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  4. J. M. Sarabia
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Correspondence to J. Navarro.

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Navarro, J., Esna-Ashari, M., Asadi, M. et al. Bivariate distributions with conditionals satisfying the proportional generalized odds rate model. Metrika 78, 691–709 (2015). https://doi.org/10.1007/s00184-014-0523-7

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