102
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Additive Reversed Hazard Rates Models

, &

References

  • Aalen, O.O. (1980). A model for nonparametric regression analysis of counting processes. Lecture Notes in Statistics, 2, 1–25.
  • Aalen, O.O. (1989). A linear regression model for the analysis of life times. Statistics in Medicine, 8(8), 907–925.
  • Andersen, P.K. (1982). Testing goodness of fit of Cox’s regression and life model. Biometrics 38, 67–77.
  • Andersen, P.K., Borgan, Ø., Gill, R.D., & Keiding, N. (1993). Statistical models based on counting processes. Newyork, NY: Springer-Verlag.
  • Andersen, P.K., & Gill, R.D. (1982). Cox’s regression model for counting processes: a large sample study. The Annals of Statistics, 10(4), 1100–1120.
  • Barlow, R.E., Marshall, A.W., & Proschan, F. (1963). Properties of probability distributions with monotone hazard rate. The Annals of Mathematical Statistics, 34(2), 375–389.
  • Block, H.W., Savits, T.H., & Singh, H. (1998). The reversed hazard rate function. Probability in the Engineering and Informational Sciences, 12, 69–90.
  • Cox, D.R. (1972). Regression models and life-tables. Journal of the Royal Statistical Society. Series B (Methodological), 34(2), 187–220.
  • Duffy, D.L., Martin, N.G., & Mathews, J.D. (1990). Appendectomy in Australian twins. American Journal of Human Genetics, 47(3), 590.
  • Gupta, R.C., Gupta, R.D., & Gupta, P.L. (1998). Modeling failure time data by Lehman alternatives. Communications in Statistics-Theory and Methods, 27(4), 887–904.
  • Hougaard, P. (2000). Analysis of multivariate survival data. Berlin: Springer.
  • Huang, Y., & Chen, Y.Q. (2003). Marginal regression of gaps between recurrent events. Lifetime Data Analysis, 9(3), 293–303.
  • Kalbfleisch, J., & 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(406), 360–372.
  • Lawless, J.F. (2003). Statistical models and methods for lifetime data. New YorkNY: John Wiley & Sons.
  • Li, P., & Ling, X. (2012). The additive hazard mixing models. Acta Mathematicae Applicatae Sinica. English Series, 28(1), 139–148.
  • Lin, D.Y., & Ying, Z. (1994). Semiparametric analysis of the additive risk model. Biometrika, 81(1), 61–71.
  • Lin, D.Y., & Ying, Z. (1997). Additive hazards regression models for survival data. In Proceedings of the first Seattle symposium in Biostatistics, 185–198, New York NY: Springer.
  • McKeague, I.W., Utikal, K.J. (1991), Goodness-of-fit tests for additive hazards and proportional hazards models. Scandinavian Journal of Statistics, 18, 177–195.
  • Nair, N.U., & Sankaran, P.G. (2012). Some results on an additive hazards model. Metrika, 75(3), 389–402.
  • Nair, N.U., Sankaran, P.G., & Asha, G. (2005). Characterizations of distributions using reliability concepts. Journal of Applied Statistical Science, 14(3), 237–24l.
  • Sankaran, P.G.& Anisha, P. (2012). Additive hazards models for gap time data with multiple causes. Statistics & Probability Letters, 82(7), 1454–1462.
  • Sankaran, P.G., & Gleeja, V.L. (2008). Proportional reversed hazard and frailty models. Metrika, 68(3), 333–342.
  • Sankaran, P.G., & Gleeja, V.L. (2011). On proportional reversed hazards frailty models. Metron, 69(2), 151–173.
  • Sengupta, D., & Nanda, A.K. (2010). The proportional reversed hazards regression model. Journal of Applied Statistical Science, 18(4), 461.
  • Shaked, M., & Shanthikumar, J.G. (1994). Stochastic orders and their applications. New YorkNY: Academic Press.
  • Sun, L., Park, D., & Sun, J. (2006). The additive hazards model for recurrent gap times. Statistica Sinica, 16(3), 919.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.