International Journal of Reliability and Applications
- Volume 10 Issue 2
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- Pages.63-79
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- 2009
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- 1598-0073(pISSN)
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- 2283-8914(eISSN)
A Class of Bivariate Linear Failure Rate Distributions and Their Mixtures
- Sarhan, Ammar M. (Department of Mathematics & Statistics, Faculty of Science, Dalhousie University) ;
- El-Gohary, A. (Department of Mathematics, Faculty of Science, Mansoura University) ;
- El-Bassiouny, A.H. (Department of Mathematics, Faculty of Science, Mansoura University) ;
- Balakrishnan, N. (Department of Mathematics and Statistics, McMaster University)
- Published : 2009.12.31
Abstract
A new bivariate linear failure rate distribution is introduced through a shock model. It is proved that the marginal distributions of this new bivariate distribution are linear failure rate distributions. The joint moment generating function of the bivariate distribution is derived. Mixtures of bivariate linear failure rate distributions are also discussed. Application to a real data is given.
Keywords
- Mixture distributions;
- Bivariate distribution;
- Linear failure rate distribution;
- exponential distribution;
- joint moment generating function;
- marginal distributions