TY - JOUR
T1 - On stochastic dependence in residual lifetime and inactivity time with some applications
AU - Li, Chen
AU - Li, Xiaohu
N1 - Publisher Copyright:
© 2021 Elsevier B.V.
PY - 2021/10
Y1 - 2021/10
N2 - For bivariate random lifetimes, we study the role of stochastic dependence through conducting stochastic comparison on the residual life, inactivity time and some aging behavior of one marginal conditioned by the survival or failure of the other. The main results serve as essential supplement to those related ones of Bassan and Spizzichino (1999) and Longobardi and Pellerey (2019). Applications in frailty, resilience and load-sharing models are presented as well.
AB - For bivariate random lifetimes, we study the role of stochastic dependence through conducting stochastic comparison on the residual life, inactivity time and some aging behavior of one marginal conditioned by the survival or failure of the other. The main results serve as essential supplement to those related ones of Bassan and Spizzichino (1999) and Longobardi and Pellerey (2019). Applications in frailty, resilience and load-sharing models are presented as well.
KW - Copula
KW - DRHR
KW - IHR
KW - Likelihood ratio order
KW - Mean residual life order
KW - TP2
UR - http://www.scopus.com/inward/record.url?scp=85106897380&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85106897380&partnerID=8YFLogxK
U2 - 10.1016/j.spl.2021.109120
DO - 10.1016/j.spl.2021.109120
M3 - Article
AN - SCOPUS:85106897380
SN - 0167-7152
VL - 177
JO - Statistics and Probability Letters
JF - Statistics and Probability Letters
M1 - 109120
ER -