TY - JOUR
T1 - A mixture model of proportional reversed hazard rate
AU - Li, Xiaohu
AU - Li, Zhouping
PY - 2008/1
Y1 - 2008/1
N2 - This article investigates properties of mixture model of proportional reversed hazard rate. Firstly, the mixing random variable and the overall population variable are proved to be positively likelihood dependent. Secondly, lower bounds for the distribution function as well as the conditional distribution are established in the case that the mixing variable belongs to certain nonparametric classes. Finally, some stochastic orders on the mixing (baseline) variables are proved to be translated to the corresponding overall population variables.
AB - This article investigates properties of mixture model of proportional reversed hazard rate. Firstly, the mixing random variable and the overall population variable are proved to be positively likelihood dependent. Secondly, lower bounds for the distribution function as well as the conditional distribution are established in the case that the mixing variable belongs to certain nonparametric classes. Finally, some stochastic orders on the mixing (baseline) variables are proved to be translated to the corresponding overall population variables.
KW - DRHR
KW - HNBUE
KW - Hazard rate order
KW - Likelihood ratio order
KW - Positively likelihood ratio dependent
UR - http://www.scopus.com/inward/record.url?scp=49149105916&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=49149105916&partnerID=8YFLogxK
U2 - 10.1080/03610920802050935
DO - 10.1080/03610920802050935
M3 - Article
AN - SCOPUS:49149105916
SN - 0361-0926
VL - 37
SP - 2953
EP - 2963
JO - Communications in Statistics - Theory and Methods
JF - Communications in Statistics - Theory and Methods
IS - 18
ER -