On Closure under Formation of Coherent Systems
Ahmed, A., Abouammoh, A. (1988). On Closure under Formation of Coherent Systems. EKB Journal Management System, 32(1), 57-61. doi: 10.21608/esju.1988.316550
A. N. Ahmed; A. M. Abouammoh. "On Closure under Formation of Coherent Systems". EKB Journal Management System, 32, 1, 1988, 57-61. doi: 10.21608/esju.1988.316550
Ahmed, A., Abouammoh, A. (1988). 'On Closure under Formation of Coherent Systems', EKB Journal Management System, 32(1), pp. 57-61. doi: 10.21608/esju.1988.316550
Ahmed, A., Abouammoh, A. On Closure under Formation of Coherent Systems. EKB Journal Management System, 1988; 32(1): 57-61. doi: 10.21608/esju.1988.316550

On Closure under Formation of Coherent Systems

The Egyptian Statistical Journal
Article 4, Volume 32, Issue 1, June 1988, Page 57-61  XML PDF (2.91 MB)
Document Type: Original Article
DOI: 10.21608/esju.1988.316550
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Authors
A. N. Ahmed1; A. M. Abouammoh2
1Institute of Statistical Studies & Research, Cairo University, Egypt
2King Saud University, Riyadh, Saudi Arabia
Abstract
We extend Klefsjo (1985) proof for the closure of the increasing failure rate average (IFRA) property under formation of parallel systems to k-out-of-n systems. We also show that any k-out-of-n system with 1≤k<n independent and identically distributed components has the new better than average failure rate (NBAFR) property. This is true for k=1 even if the underlying components are not identical.
Keywords
Parallel System; k-out-of-n System; NBAFR; IFRA
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