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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 ,
Lirong Cui  and
Frank K. Hwang
Gerard J. Chang
Affiliation:
Department of Applied Mathematics, National Chiao Tung University, Hsinchu 30050, Taiwan, Email: gjchang@math.nctu.edu.tw
Lirong Cui
Affiliation:
Reliability and Safety Research Center, China Aerospace Corporation, P. O. Box 835, Beijing, P. R. China (100830), Email: Lirongcui@mailexcite.com
Frank K. Hwang
Affiliation:
Department of Applied Mathematics, National Chiao Tung University, Hsinchu 30050, Taiwan, Email: fhwang@math.nctu.edu.tw
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Abstract

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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
Information
Probability in the Engineering and Informational Sciences , Volume 13 , Issue 2 , April 1999 , pp. 187 - 192
Copyright
© 1999 Cambridge University Press