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CORRIGENDA ON “NEW COMPARISONS IN BIRNBAUM IMPORTANCE FOR THE CONSECUTIVE-k-OUT-OF-n SYSTEM”

Published online by Cambridge University Press:  01 July 2000

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

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In the proof of Theorem 2.6 in [1], we reduced the comparison of Ii(n) and Ii+1(n) to Ii−k(n − k) and Ii+1(n − k). Then, we mistakenly stated: “Suppose i − k > k, then we repeat the same reduction.” In fact, the reduction can be repeated only if i′ = n − k − i = i − k + 1. Consequently, Theorem 2.6 was proved only for t = 2. For similar reasons, Corollary 2.7 was proved only for t = 2, and Theorem 2.8 only for t = 1.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 14 , Issue 3 , July 2000 , pp. 405
Copyright
© 2000 Cambridge University Press