Aging and ordering properties of multivariate lifetimes with Archimedean dependence structures

作者：Li, Chen; Li, Xiaohu^*

来源：Communications in Statistics - Theory and Methods, 2017, 46(2): 874-891.

DOI：10.1080/03610926.2015.1006783

• Conditionally increasing in sequence
• IFR
• inactivity time
• residual lifetime
• upper orthant order

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 etal. (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.

• 出版日期2017
• 单位厦门大学