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NEW COMPARISONS IN BIRNBAUM IMPORTANCE FOR THE CONSECUTIVE-k-OUT-OF-n SYSTEM

Published online by Cambridge University Press:  01 April 1999

Gerard J. Chang
Affiliation:
Department of Applied Mathematics, National Chiao Tung University, Hsinchu 30050, Taiwan, Email: [email protected]
Lirong Cui
Affiliation:
Reliability and Safety Research Center, China Aerospace Corporation, P. O. Box 835, Beijing, P. R. China (100830), Email: [email protected]
Frank K. Hwang
Affiliation:
Department of Applied Mathematics, National Chiao Tung University, Hsinchu 30050, Taiwan, Email: [email protected]

Abstract

We study the Birnbaum importance of the consecutive-k-out-of-n line and clear up confusion in some claimed but unproved results. We introduce some new techniques which not only prove these claimed results but also generalize them much further. Finally, we extend our results to the 2-out-of-m-out-of-n line.

Type
Research Article
Copyright
© 1999 Cambridge University Press

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