The Cambanis family of bivariate distributions: Properties and applications


  • N. Unnikrishnan Nair Cochin University of Science and Technology
  • Johny Scaria Mahatma Gandhi University, Kotttayam - Kerala
  • Sithara Mohan Nirmala College, Muvattupuzha



Bivariate Cambanis family, association measures, total positivity, bivariate hazard rates, bivariate mean residual life, series and parallel systems


The Cambanis family of bivariate distributions was introduced as a generalization of the Farlie-Gumbel-Morgenstern system. The present work is an attempt to investigate the distributional characteristics and applications of the family. We derive various coecients of association, dependence concepts and time-dependent measures. Bivariate reliability functions such as hazard rates and mean residual life functions are analysed. The application of the family as a model for bivariate lifetime data is also demonstrated.


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How to Cite

Nair, N. U., Scaria, J., & Mohan, S. (2016). The Cambanis family of bivariate distributions: Properties and applications. Statistica, 76(2), 169–184.