HE Zongfu, CHENG Kan, . A BARLOW AND PROSCHAN'S CONJECTURE CONCERNING COHERENT SYSTEM RELIABILITY BOUNDS[J]. Chinese Journal of Applied Probability and Statistics, 1990, 6(3): 259-264.
Citation:
HE Zongfu, CHENG Kan, . A BARLOW AND PROSCHAN'S CONJECTURE CONCERNING COHERENT SYSTEM RELIABILITY BOUNDS[J]. Chinese Journal of Applied Probability and Statistics, 1990, 6(3): 259-264.
HE Zongfu, CHENG Kan, . A BARLOW AND PROSCHAN'S CONJECTURE CONCERNING COHERENT SYSTEM RELIABILITY BOUNDS[J]. Chinese Journal of Applied Probability and Statistics, 1990, 6(3): 259-264.
Citation:
HE Zongfu, CHENG Kan, . A BARLOW AND PROSCHAN'S CONJECTURE CONCERNING COHERENT SYSTEM RELIABILITY BOUNDS[J]. Chinese Journal of Applied Probability and Statistics, 1990, 6(3): 259-264.
A BARLOW AND PROSCHAN'S CONJECTURE CONCERNING COHERENT SYSTEM RELIABILITY BOUNDS
For a coherent system with independent components, Barlow and Prosehan in 1 conjectured that the system's reliability satisfies inequalities (5) and (6) for highreliable components. In this paper it is shown that the inequality (5) holds for highly reliable components, bat inequality (6) does not hold in general.
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