TY - JOUR
T1 - Comparisons of series and parallel systems with heterogeneous components
AU - Ding, Weiyong
AU - Da, Gaofeng
AU - Li, Xiaohu
N1 - Publisher Copyright:
© Cambridge University Press 2013.
PY - 2014
Y1 - 2014
N2 - This paper carries out stochastic comparisons of series and parallel systems with independent and heterogeneous components in the sense of the hazard rate order, the reversed hazard rate order, and the likelihood ratio order. The main results extend and strengthen the corresponding ones by Misra and Misra [18] and by Ding, Zhang, and Zhao [8]. Meanwhile, the results on the hazard rate order of parallel systems and the reversed hazard order of series systems serve as nice supplements to Theorem 16.B.1 of Boland and Proschan [4] and Theorem 3.2 of Nanda and Shaked [20], respectively.
AB - This paper carries out stochastic comparisons of series and parallel systems with independent and heterogeneous components in the sense of the hazard rate order, the reversed hazard rate order, and the likelihood ratio order. The main results extend and strengthen the corresponding ones by Misra and Misra [18] and by Ding, Zhang, and Zhao [8]. Meanwhile, the results on the hazard rate order of parallel systems and the reversed hazard order of series systems serve as nice supplements to Theorem 16.B.1 of Boland and Proschan [4] and Theorem 3.2 of Nanda and Shaked [20], respectively.
UR - http://www.scopus.com/inward/record.url?scp=84911364439&partnerID=8YFLogxK
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U2 - 10.1017/S0269964813000314
DO - 10.1017/S0269964813000314
M3 - Article
AN - SCOPUS:84911364439
SN - 0269-9648
VL - 28
SP - 39
EP - 53
JO - Probability in the Engineering and Informational Sciences
JF - Probability in the Engineering and Informational Sciences
IS - 1
ER -