Multivariate Extensions of Univariate Life Distributions

Journal of Multivariate Analysis

Volumn 67, Issue 1, 1998, Pages 72-79

  Roy, Dilip ^a   Mukherjee, S P ^b  

^a UNIVERSITY OF BURDWAN   (India)

^b UNIVERSITY OF CALCUTTA   (India)

Author keywords

Characterization; modelling; marginal distribution; joint distribution; IFR and IFRA classes; Weibull distribution; exponential distribution; failure rate transform; crude hazard rates

Indexed keywords

EID: 0038857048     PISSN: 0047259X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmva.1998.1754     Document Type: Article

References (24)

1. Basu A. P. Bivariate failure rate. J. Amer. Statist. Assoc. 66:1971;103-104.
2. Block H. N., Basu A. P. A continuous bivariate exponential extension. J. Amer. Statist. Assoc. 69:1974;1031-1037.
3. Crowder M. J. A multivariate distribution with Weibull connections. J. Roy. Statist. Soc. Ser. B. 51:1989;97-107.
4. Dowton F. Bivariate exponential distributions in reliability theory. J. Roy. Statist. Soc. Ser. B. 33:1970;408-417.
5. Elandt Johnson R. C. Some properties of bivariate Gumbel type A distribution with proportional hazard rates. J. Multivariate Anal. 8:1978;244-254.
6. Farlie D. J. G. The performance of some correlation coefficient for a general bivariate distribution. Biometrika. 47:1960;307-327.
7. Freund J. E. A bivariate extension of the exponential distribution. J. Amer. Statist. Assoc. 56:1961;971-977.
8. Gail M. A review and critique of some models used in competing risk analysis. Biometrika. 31:1975;209-222.
9. Gumbel E. J. Bivariate exponential distributions. J. Amer. Statist. Assoc. 55:1960;698-707.
10. Hawkes A. C. A bivariate exponential distribution with applications to reliability. J. Roy. Statist. Soc. Ser. B. 34:1972;129-131.
11. Hougaard P. A class of multivariate failure time distribution. Biometrika. 73:1986;671-678.
12. Johnson N. L., Kotz S. A vector multivariate hazard rate. J. Multivariate Anal. 5:1975;53-66.
13. Kelker D. Distribution theory of spherical distributions and a location scale parameter generalization. Sankhyā Ser. A. 32:1970;419-430.
14. Lee L. Multivariate distributions having Weibull properties. J. Multivariate Anal. 9:1979;267-277.
15. Lehmann E. L. Some concept of dependence. Ann. Math. Statist. 37:1966;1137-1153.
16. Marshall A. W., Olkin I. A multivariate exponential distribution. J. Amer. Statist. Assoc. 62:1967;30-44.
17. Morgenstern D. Einfache Beispiele zweidimensionaler verteilungen. Mitt. Math. Statist. 8:1956;234-235.
18. Mukherjee S. P., Roy D. Failure rate transform of the Weibull variate and its properties. Comm. Statist. Theory Methods. 16:1987;281-291.
19. Paulson A. S. A characterization of the exponential distribution and a bivariate exponential distribution. Sankhyā Ser. A. 35:1973;69-78.
20. Roy D., Mukherjee S. P. A note on characterization of the Weibull distribution. Sankhyā Ser. A. 48:1986;250-253.
21. Roy D. Classification of life distributions under multivariate model. IEEE Trans. Reliability. 43:1994;224-229.
22. Sarkar S. K. A continuous bivariate exponential distribution. J. Amer. Statist. Assoc. 82:1987;667-675.
23. Shaked M. A general theory of some positive dependence. J. Multivariate Anal. 12:1982;199-218.
24. Shanbhag D. N., Kotz S. Some new approaches to multivariate probability distributions. J. Multivariate Anal. 22:1987;189-211.