The Hazard Rate Properties of Parallel and Series Systems for Bivariate Exponential Distributions ABSTRACT | FULL TEXT
Keywords
References
- Gupta, R. C., Gupta, R. D. and Gupta, P. L. Monotonicity of the (reversed) hazard rate of the (maximum) minimum in bivariate distributions, Metrika 63, 223–241, 2006.
- Joo, S. and Mi, J. Some properties of hazard rate functions of systems with two components, Journal of Statistical Planning and Inference 140 (2), 444–453, 2010.
- Kotz, S., Balakrishnan, N. and Johnson, N. L. Continuous Multivariate Distributions (Vol- ume 1, Models and Applications, 2nd Edition) (John Wiley and Sons Inc, New York, 2000). [4] Lai, C. D. and Xie, M. Stochastic Ageing and Dependence for Reliability (Springer, New York, 2006).
- Navarro, J., Guillamon, A. and Ruiz, M. C. Generalized mixtures in reliability modelling: Applications to the construction of bathtub shaped hazard models and the study of systems, Applied Stochastic Models in Business and Industry 25 (3), 323–337, 2009.
- Navarro, J. and Lai, C. D. Ordering properties of systems with two dependent components, Communications in Statistics - Theory and Methods 36 (3), 645–655, 2007.
- Navarro, J., Ruiz, J. M. and Sandoval, C. J. Reliability properties of systems with exchange- able components and exponential conditional distributions TEST 15 (2), 471–484, 2006.
- Navarro, J., Ruiz, J. M. and Sandoval, C. J. Systems with exchangeable components and Gumbel exponential distributions In: (Advances in Distribution Theory, Order Statistics and Inference, Statistics for Industry and Technology, Birkh¨auser, Boston, MA, 2006), 291– 306.
- Navarro, J., Ruiz, J. M. and Sandoval, C. J. Properties of systems with two exchangeable Pareto components, Statistical Papers 49, 177–190, 2008.
- Navarro, J. and Shaked, M. Hazard rate ordering of order statistics and systems J. Appl. Probab. 43 (2), 391–408, 2006.
- Navarro J. and Shaked, M. Some properties of the minimum and the maximum of random variables with joint logconcave distributions, Metrika 71 (3), 313–317, 2010.
- Navarro, J. and Spizzichino, F. Comparisons of the series and parallel systems with compo- nents sharing the same copula, Appl. Stochastic Models Bus. Ind. 26, 775–791, 2010.
- Shaked, M. and Shanthikumar, J. G. Stochastic Orders and Their Applications (Academic Press, San Diego, 1994).
- Zhang, Z. Ordering conditional general coherent systems with exchangeable components, Journal of Statistical Planning and Inference 140, 454–460, 2010.
- Zhao, P. and Balakrishnan, N. Some characterization results for parallel systems with two heterogeneous exponential components, Statistics 45 (6), 593–604, 2011.
The Hazard Rate Properties of Parallel and Series Systems for Bivariate Exponential Distributions ABSTRACT | FULL TEXT
Keywords
References
- Gupta, R. C., Gupta, R. D. and Gupta, P. L. Monotonicity of the (reversed) hazard rate of the (maximum) minimum in bivariate distributions, Metrika 63, 223–241, 2006.
- Joo, S. and Mi, J. Some properties of hazard rate functions of systems with two components, Journal of Statistical Planning and Inference 140 (2), 444–453, 2010.
- Kotz, S., Balakrishnan, N. and Johnson, N. L. Continuous Multivariate Distributions (Vol- ume 1, Models and Applications, 2nd Edition) (John Wiley and Sons Inc, New York, 2000). [4] Lai, C. D. and Xie, M. Stochastic Ageing and Dependence for Reliability (Springer, New York, 2006).
- Navarro, J., Guillamon, A. and Ruiz, M. C. Generalized mixtures in reliability modelling: Applications to the construction of bathtub shaped hazard models and the study of systems, Applied Stochastic Models in Business and Industry 25 (3), 323–337, 2009.
- Navarro, J. and Lai, C. D. Ordering properties of systems with two dependent components, Communications in Statistics - Theory and Methods 36 (3), 645–655, 2007.
- Navarro, J., Ruiz, J. M. and Sandoval, C. J. Reliability properties of systems with exchange- able components and exponential conditional distributions TEST 15 (2), 471–484, 2006.
- Navarro, J., Ruiz, J. M. and Sandoval, C. J. Systems with exchangeable components and Gumbel exponential distributions In: (Advances in Distribution Theory, Order Statistics and Inference, Statistics for Industry and Technology, Birkh¨auser, Boston, MA, 2006), 291– 306.
- Navarro, J., Ruiz, J. M. and Sandoval, C. J. Properties of systems with two exchangeable Pareto components, Statistical Papers 49, 177–190, 2008.
- Navarro, J. and Shaked, M. Hazard rate ordering of order statistics and systems J. Appl. Probab. 43 (2), 391–408, 2006.
- Navarro J. and Shaked, M. Some properties of the minimum and the maximum of random variables with joint logconcave distributions, Metrika 71 (3), 313–317, 2010.
- Navarro, J. and Spizzichino, F. Comparisons of the series and parallel systems with compo- nents sharing the same copula, Appl. Stochastic Models Bus. Ind. 26, 775–791, 2010.
- Shaked, M. and Shanthikumar, J. G. Stochastic Orders and Their Applications (Academic Press, San Diego, 1994).
- Zhang, Z. Ordering conditional general coherent systems with exchangeable components, Journal of Statistical Planning and Inference 140, 454–460, 2010.
- Zhao, P. and Balakrishnan, N. Some characterization results for parallel systems with two heterogeneous exponential components, Statistics 45 (6), 593–604, 2011.
There are 14 citations in total.
Details
| Primary Language | Turkish |
|---|---|
| Journal Section | Mathematics |
| Authors | |
| Publication Date | June 1, 2011 |
| Published in Issue | Year 2011 Volume: 40 Issue: 6 |