@article{(Open Science Index):https://publications.waset.org/pdf/17061,
	  title     = {Reliability Approximation through the Discretization of Random Variables using Reversed Hazard Rate Function},
	  author    = {Tirthankar Ghosh and  Dilip Roy and  Nimai Kumar Chandra},
	  country	= {},
	  institution	= {},
	  abstract     = {Sometime it is difficult to determine the exact reliability for complex systems in analytical procedures. Approximate solution of this problem can be provided through discretization of random variables. In this paper we describe the usefulness of discretization of a random variable using the reversed hazard rate function of its continuous version. Discretization of the exponential distribution has been demonstrated. Applications of this approach have also been cited. Numerical calculations indicate that the proposed approach gives very good approximation of reliability of complex systems under stress-strength set-up. The performance of the proposed approach is better than the existing discrete concentration method of discretization. This approach is conceptually simple, handles analytic intractability and reduces computational time. The approach can be applied in manufacturing industries for producing high-reliable items.
},
	    journal   = {International Journal of Mathematical and Computational Sciences},
	  volume    = {7},
	  number    = {4},
	  year      = {2013},
	  pages     = {735 - 739},
	  ee        = {https://publications.waset.org/pdf/17061},
	  url   	= {https://publications.waset.org/vol/76},
	  bibsource = {https://publications.waset.org/},
	  issn  	= {eISSN: 1307-6892},
	  publisher = {World Academy of Science, Engineering and Technology},
	  index 	= {Open Science Index 76, 2013},
	}