Bivariate survival models with Clayton aging functions

被引:16
作者
Bassan, B [1 ]
Spizzichino, F [1 ]
机构
[1] Univ Roma La Sapienza, Dept Math, I-00185 Rome, Italy
关键词
archimedean copulas; invariance of aging under truncation; level curves of survival functions; semi-copulas;
D O I
10.1016/j.insmatheco.2004.12.003
中图分类号
F [经济];
学科分类号
02 ;
摘要
In some recent papers, the authors considered a function B that describes the level curves of an exchangeable bivariate survival function F. The function B permits the analysis of several "multivariate aging properties" of F. In this paper, the authors consider survival models characterized by the condition that B is a Clayton copula and analyze a related invariance property. This property concerns the family of level curves of the joint survival function of residual lifetimes, when "ages" are increasing. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码:6 / 12
页数:7
相关论文
共 15 条
[1]  
[Anonymous], 1966, Lectures on functional equations and their applications
[2]   Relations among univariate aging, bivariate aging and dependence for exchangeable lifetimes [J].
Bassan, B ;
Spizzichino, F .
JOURNAL OF MULTIVARIATE ANALYSIS, 2005, 93 (02) :313-339
[3]  
BASSAN B, 2003, SERIES QUALITY RELIA, V7
[4]  
BASSAN B, 2001, SERIES QUALITY RELIA, V5, P229
[5]  
CHARPENTIER A, 2004, TAIL DEPENDENCE ARCH
[6]  
CHARPENTIER A, 2003, DEPENDENCE TAIL DIST
[7]  
CLAYTON DG, 1978, BIOMETRIKA, V65, P141, DOI 10.1093/biomet/65.1.141
[8]  
DURANTE F, IN PRESS KYBERNETIKA
[9]  
Marshall A., 1979, Inequalities: Theory of Majorization and Its Applications
[10]  
Nelsen R. B., 1999, INTRO COPULAS