Reliability properties of systems with exchangeable components and exponential conditional distributions

Test

Volumn 15, Issue 2, 2006, Pages 471-484

  Navarro, Jorge ^a   Ruiz, José M ^a   Sandoval, Carlos J ^b  

^a UNIVERSITY OF MURCIA   (Spain)

^b CATHOLIC UNIVERSITY OF MURCIA   (Spain)

Author keywords

Failure rate; Hazard; Mean residual life; Ordering; Reliability; Series and parallel systems

Indexed keywords

EID: 33845651227     PISSN: 11330686     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02607062     Document Type: Article

References (16)

1. ARNOLD, B. C., CASTILLO, E., and SARABIA, J. M. (1999). Conditional Specification of Statistical Models. Springer-Verlag, New York.
2. ARNOLD, B. C. and STRAUSS, D. J. (1988). Bivariate distributions with exponential conditionals. Journal of the American Statistical Association, 83:522-527.
3. BAGGS, G. E. and NAGARAJA, H. N. (1996). Reliability properties of order statistics from bivariate exponential distributions. Communications in Statistics-Stochastic Models, 12(4):611-631.
4. BALAKRISHNAN, N. and AKHUNDOV, I. S. (2003). A characterization by linearity of the regression function based on order statistics. Statistics & Probability Letters, 63:435-440.
5. BARLOW, R. E. and PROSCHAN, F. (1975). Statistical Theory of Reliability and Life Testing. Holt, Rinehart and Winston, New York.
6. BELZUNCE. F.. FRANCO, M., RUIZ, J. M., and RUIZ, M. C. (2001). On partial orderings between coherent systems with different structures. Probability in the Engineering and Informational Sciences, 15:273-293.
7. BLOCK, H. W. and JOE, H. (1997). Tail behavior of the failure rate functions of mixtures. Lifetime and Data Analysis, 3:269-288.
8. COX, D. R. and OAKES, D. (1984). Analysis of Survival Data. Chapman & Hall/CRC, London.
9. GLASER, R. E. (1980). Bathtub and related failure rate characterizations. Journal of the American Statistical Association, 75:667-672.
10. GUPTA, P. L. and GUPTA, R. C. (2001). Failure rate of the minimum and maximum of a multivariate normal distribution. Metrika, 53:39-49.
11. GUPTA, R. C. (2001). Reliability studies of bivariate distributions with pareto conditionals. Journal of Multivariate Analysis, 76:214-225.
12. KANJO, A. I. and ABOUAMMOH, A. M. (1995). Closure of mean remaining life classes under formation of parallel systems. Pakistan Journal of Statistics, 11:153-158.
13. ROY, D. (2001). Some properties of a classification system for multivariate life distributions. IEEE Transactions on Reliability, 50:214-220.
14. RYCHLIK, T. (2001a). Mean-variance bounds for order statistics from dependent dfr, ifr, dfra and ifra samples. Journal of Statistical Planning and Inference, 92:21-38.
15. RYCHLIK, T. (2001b). Stability of order statistics under dependence. Annals of the Institute of Statistical Mathematics, 53:877-894.
16. SHAKED, M. and SHANTHIKUMAR, J. G. (1994). Stochastic Orders and Their Applications. Academic Press, San Diego.