TY - JOUR
T1 - Competing Between Two Groups of Individuals Following Frailty Models
AU - Li, Xiaohu
AU - Da, Gaofeng
AU - Zhao, Peng
PY - 2012/12
Y1 - 2012/12
N2 - This paper studies the competing system between two groups of individuals, each of them follows multivariate frailty models. We investigate the distribution of the number of individuals in one group to survive some failure in the other group and how the frailty vector of each group has an impact on the distribution by using stochastic comparisons. Applications in candidates selection by ranking and engineering reliability are presented as well.
AB - This paper studies the competing system between two groups of individuals, each of them follows multivariate frailty models. We investigate the distribution of the number of individuals in one group to survive some failure in the other group and how the frailty vector of each group has an impact on the distribution by using stochastic comparisons. Applications in candidates selection by ranking and engineering reliability are presented as well.
KW - Multivariate frailty model
KW - POD dependent
KW - Stochastic orders
UR - http://www.scopus.com/inward/record.url?scp=84867897100&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84867897100&partnerID=8YFLogxK
U2 - 10.1007/s11009-011-9218-y
DO - 10.1007/s11009-011-9218-y
M3 - Article
AN - SCOPUS:84867897100
SN - 1387-5841
VL - 14
SP - 1033
EP - 1051
JO - Methodology and Computing in Applied Probability
JF - Methodology and Computing in Applied Probability
IS - 4
ER -