References
- Andersen , P. K. , Borgan , O. , Gill , R. D. and Keiding , N. 1993 . Statistical Models Based on Counting Processes New York : Springer Verlag .
- Barlow , R. E. and Proschan , F. 1975 . Statistical Theory of Reliability and Life Testing New York : Holt .
- Block , H. , Savits , T. and Singh , H. 1998 . The reversed hazard rate function . Probability in the Engineering and Informational Sciences , 12 : 69 – 90 .
- Boland , P. J. , El-Neweihi , E. and Proschan , F. 1994 . Applications of the hazard rate ordering in reliability and order statistics . Journal of Applied Probability , 31 : 180 – 192 .
- Finner , H. and Roters , M. 1993 . Distribution functions and log-concavity . Communications in Statistics-Theory & Methods , 22 : 2381 – 2396 .
- Gupta , R. C. 1987 . On the monotonic properties of the residual variance and their applications in reliability . Journal of Statistical Planning and Inference , 16 : 329 – 335 .
- Kalbfliesch , J. D. and Lawless , J. F. 1989 . Inference based on retrospective ascertainment: an analysis of the data on transfusion-related AIDS . Journal of the American Statistical Association , 84 : 360 – 372 .
- Nanda , A. K. , Jain , K. and Singh , H. 1998 . Preservation of some partial orderings under the formation of coherent systems . Statistics & Probability Letters , 39 : 123 – 131 .
- Nanda , A. K. and Gupta , R. D. 2001 . Some properties of reversed hazard rate function . Statistical Methods , 3 ( 2 ) : 108 – 124 .
- Pellerey , F. 1993 . Partial orderings under cumulative damage shock models . Advances in Applied Probability , 25 ( 4 ) : 939 – 946 .
- Pellerey , F. and Shaked , M. 1997 . Characterizations of the IFR and DFR ageing properties by means of dispersive order . Statistics & Probability Letters , 33 ( 4 ) : 389 – 393 .
- Ross , S. M. 1983 . Stochastic Processes New York : Wiley .
- Sengupta , D. and Nanda , A. K. 1999 . Log-concave and concave distributions in reliability . Naval Research Logistics , 46 ( 4 ) : 419 – 433 .
- Sengupta , D. , Singh , H. and Nanda , A. K. 1998 . “ The proportional reversed hazards model ” . In Technical report, Applied Statistics Division Calcutta : Indian Statistical Institute .
- Shaked , M. and Shanthikumar , J. G. 1994 . Stochastic Orders and Their Applications New York : Academic Press .