TY - JOUR
T1 - Aging and ordering properties of multivariate lifetimes with Archimedean dependence structures
AU - Li, Chen
AU - Li, Xiaohu
N1 - Publisher Copyright:
© 2017 Taylor & Francis Group, LLC.
PY - 2017/1/17
Y1 - 2017/1/17
N2 - This paper further studies monotone aging properties of the multivariate random lifetime. We revise the sufficient condition for the negative monotone aging property in terms of the multivariate usual stochastic order in Theorem 3.3 of Rezapour et al. (2013) and derive the condition sufficient to the multivariate monotone aging properties in terms of the upper orthant order. Also we study the upper orthant order of multivariate residual lifetimes and inactivity times from populations sharing a common Archimedean survival copula and Archimedean survival copula, respectively. Two simple applications in multivariate stress-strength and frailty models are presented as well.
AB - This paper further studies monotone aging properties of the multivariate random lifetime. We revise the sufficient condition for the negative monotone aging property in terms of the multivariate usual stochastic order in Theorem 3.3 of Rezapour et al. (2013) and derive the condition sufficient to the multivariate monotone aging properties in terms of the upper orthant order. Also we study the upper orthant order of multivariate residual lifetimes and inactivity times from populations sharing a common Archimedean survival copula and Archimedean survival copula, respectively. Two simple applications in multivariate stress-strength and frailty models are presented as well.
KW - Conditionally increasing in sequence
KW - IFR
KW - inactivity time
KW - residual lifetime
KW - upper orthant order
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U2 - 10.1080/03610926.2015.1006783
DO - 10.1080/03610926.2015.1006783
M3 - Article
AN - SCOPUS:84991406686
SN - 0361-0926
VL - 46
SP - 874
EP - 891
JO - Communications in Statistics - Theory and Methods
JF - Communications in Statistics - Theory and Methods
IS - 2
ER -