On the crossings of reliability measures

Statistics and Probability Letters

Volumn 46, Issue 3, 2000, Pages 301-305

  Gupta, Ramesh C ^a   Gupta, Pushpa L ^a  

^a UNIVERSITY OF MAINE   (United States)

Author keywords

Failure rates; Mean residual life functions; Survival functions

Indexed keywords

EID: 0041702743     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0167-7152(99)00124-8     Document Type: Article

References (13)

1. Barlow, R.E., Proschan, F., 1975. Statistical Theory of Reliability and Life Testing. Probability Models. Holt, Rinehart and Winston, New York.
2. Begg C.B., McGlave P.B., Bennet J.M., Cassileth P.A., Oken M.M. A critical comparison of allogeneic bone marrow transplantation and conventional chemotherapy as treatment for acute non-lymphonic leukemia. J. Clinical Oncology. 2:1984;369-378.
3. Champlin, R., Mitsuyasu, R., Elashoff, R., Gale, R.P., 1983. Recent advances in bone-marrow transplantation. In: Gale, R.P. (Ed.), UCLA Symposia on Molecular and Cellular Biology. Alan R. Liss, New York, pp. 141-158.
4. Cox D.R. Regression models and life tables (with discussion). J. Roy. Statist. Soc. Ser. B. 34:1972;187-220.
5. Gore S.M., Pocock S.J., Kerr G.R. Regression models and non-proportional hazards in the analysis of breast cancer survival. Appl. Statist. 33(2):1984;176-195.
6. Gupta P.L., Gupta R.C. Ageing characteristics of the Weibull mixtures. Probab. Eng. Inform. Sci. 10:1996;591-600.
7. Gupta, R.C., 1981. On the mean residual life function in survival studies. In: Taillie, C., Patil, G.P., Baldessari, B.A. (Eds.), Statistical Distribution in Scientific Work 5. D. Reidal Publishing Co., Boston, pp. 327-334.
8. Gupta R.C., Kirmani S.N.U.A. On order relations between reliability measures. Stochastic Models. 3(1):1987;149-156.
9. Houggard P. Life table methods for hetrogeneous populations, distributions describing the hetrogeneity. Biometrika. 71:1984;75-83.
10. Karlin, S., 1968. Total Positivity. Standord University Press, California.
11. Omori Y., Johnson R.A. The influence of random effects on the unconditional hazard rate and survival functions. Biometrika. 80(4):1993;910-914.
12. Pocock S.J., Gore S.M., Kerr G.R. Long term survival analysis: the curability of breast cancer. Statist. Med. 1:1982;93-104.
13. Shaked, M., Shanthikumar, J.G., 1994. Stochastic Orders and their Applications. Academic Press, New York.