On the weak IFR aging of bivariate lifetime distributions

Applied Stochastic Models in Business and Industry

Volumn 21, Issue 3, 2005, Pages 265-272

  Finkelstein, Maxim ^a   Esaulova, Veronica ^b  

^a UNIVERSITY OF THE FREE STATE   (South Africa)

^b WEIERSTRASS INSTITUTE FOR APPLIED ANALYSIS AND STOCHASTICS   (Germany)

Author keywords

Bivariate failure rate; Copula; Exponential marginals; Exponential representation; Weak IFR aging

Indexed keywords

COMPETITION; FUNCTIONS; MATHEMATICAL MODELS; RANDOM PROCESSES; RELIABILITY; VECTORS;

BIVARIATE FAILURE RATES; COPULA; EXPONENTIAL MARGINALS; EXPONENTIAL REPRESENTATION; WEAK IFR AGING;

RISK ASSESSMENT;

EID: 21244459649     PISSN: 15241904     EISSN: None     Source Type: Journal    
DOI: 10.1002/asmb.599     Document Type: Article

References (13)

1. Barlow R, Proschan F. Statistical Theory of Reliability and Life Testing. Probability Models. Holt, Rinehart and Winston: New York, 1975.
2. Bassan B, Kochar S, Spizzichino F. Some bivariate notions of IFR and DMRL and related properties. Journal of Applied Probability 2002; 39:533-544.
3. Block HW, Savits TH. Multivariate increasing failure rate distributions. Annals of Probability 1980; 8:730-801.
4. Savits TH. A multivariate IFR class. Journal of Applied Probability 1985; 22:197-204.
5. Shaked M, Shantikhumar J. Stochastic Orders and Their Applications. Academic Press: Boston, 1993.
6. Lai CD, Xie M. Concepts of stochastic dependence in reliability analysis. In Handbook of Reliability Engineering, Pham H (ed.). Springer: Berlin, 2003.
7. Basu AP. Bivariate failure rate. Journal of American Statistical Association 1971; 66:103-104.
8. Cox DR, Oakes D. Analysis of Survival Data. Chapman and Hall: London, 1984.
9. Yashin AI, Iachine IA. Dependent hazards in multivariate survival problems. Journal of Multivariate Analysis 1999; 71:241-261.
10. Yashin AI, Iachine IA. Surprising dynamics of hazards in the dependent competing risks problem. Populations Studies of Aging, Center of Health and Social Policy, Odense University, Denmark, 1996.
11. Finkelstein MS. On one class of bivariate distributions. Statistics and Probability Letters 2003; 65:1-6.
12. Gupta RC. On some association measures in bivariate distributions and their relationships. Journal of Statistics Planning and Inference 2003; 117:83-98.
13. Clayton DG. A model for association in bivariate life tables and its applications in epidemiological studies of familial tendency in chronic disease incidence. Biometrika 1978; 65:141-151.