On Closure under Formation of Coherent Systems | ||
| The Egyptian Statistical Journal | ||
| Article 4, Volume 32, Issue 1, June 1988, Pages 57-61 PDF (2.91 M) | ||
| Document Type: Original Article | ||
| DOI: 10.21608/esju.1988.316550 | ||
| 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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