On Closure under Formation of Coherent Systems | ||||
The Egyptian Statistical Journal | ||||
Article 3, Volume 32, Issue 1, June 1988, Page 57-61 | ||||
Document Type: Original Article | ||||
DOI: 10.21608/esju.1988.316550 | ||||
View on SCiNiTO | ||||
Authors | ||||
A. N. Ahmed; A. M. Abouammoh | ||||
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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