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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
Affiliation:
Department of Applied Mathematics, National Chiao Tung University, Hsinchu 30050, Taiwan, E-mail: [email protected]
Frank K. Hwang
Affiliation:
Department of Applied Mathematics, National Chiao Tung University, Hsinchu 30050, Taiwan, E-mail: [email protected]
Lirong Cui
Affiliation:
Reliability and Safety Research Center, China Aerospace Corporation, P.O. Box 835, Beijing 100830, People's Republic of China, E-mail: [email protected]

Abstract

In the proof of Theorem 2.6 in [1], we reduced the comparison of Ii(n) and Ii+1(n) to Iik(nk) and Ii+1(nk). Then, we mistakenly stated: “Suppose ik > k, then we repeat the same reduction.” In fact, the reduction can be repeated only if i′ = nki = ik + 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
Copyright
© 2000 Cambridge University Press

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