The Cambanis family of bivariate distributions: Properties and applications
DOI:
https://doi.org/10.6092/issn.1973-2201/6159Keywords:
Bivariate Cambanis family, association measures, total positivity, bivariate hazard rates, bivariate mean residual life, series and parallel systemsAbstract
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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