A new class of bivariate distributions and its mixture

  • Authors:
  • Ammar M. Sarhan;N. Balakrishnan

  • Affiliations:
  • Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt;Department of Mathematics and Statistics, McMaster University, 1280 Main Street West, Hamilton, Ont., Canada L8S 4K1

  • Venue:
  • Journal of Multivariate Analysis
  • Year:
  • 2007

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Abstract

A new class of bivariate distributions is presented in this paper. The procedure used in this paper is based on a latent random variable with exponential distribution. The model introduced here is of Marshall-Olkin type. A mixture of the proposed bivariate distributions is also discussed. The results obtained here generalize those of the bivariate exponential distribution present in the literature.