Skip to main content
Log in

On the Proportional Odds Model in Survival Analysis

  • Published:
Annals of the Institute of Statistical Mathematics Aims and scope Submit manuscript

Abstract

The proportional odds (PO) model with its property of convergent hazard functions is of considerable value in modeling survival data with non-proportional hazards. This paper explores the structure, implications, and properties of the PO model. Results proved include connections with geometric minima and maxima, ageing characteristics, and bounds on mean and variance of survival times.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Barlow, R. E. and Proschan, F. (1975). Statistical Theory of Reliability and Life Testing: Probability Models, Holt, Rinehart and Winston, New York.

    Google Scholar 

  • Basu, A. P. and Kirmani, S. N. U. A. (1986). Some results involving HNBUE distributions, J. Appl. Probab., 23, 1038-1044.

    Google Scholar 

  • Bennett, S. (1983). Analysis of survival data by the proportional odds model, Statistics in Medicine, 2, 273-277.

    Google Scholar 

  • Collett, D. (1994). Modeling Survival Data in Medical Research, Chapman and Hall, London.

    Google Scholar 

  • Crowder, M. J., Kimber, A. C., Smith, R. L. and Sweeting, T. J. (1991). Statistical Analysis of Reliability Data, Chapman and Hall, London.

    Google Scholar 

  • Dinse, G. E. and Lagakos, S. W. (1983). Regression analysis of tumor prevalence data, Applied Statistics, 32, 236-248, (Correction: ibid., 33, 79–80).

    Google Scholar 

  • Kirmani, S. N. U. A. (1996). On sample spacings from IMRL distributions. Statist. Probab. Lett., 29, 159-166 Erratum: ibid., (1998). 37, p. 315).

    Google Scholar 

  • Marshall, A. W. and Olkin, I. (1997). A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families, Biometrika, 84, 641-652.

    Google Scholar 

  • Pyke, R. (1965). Spacings, J. Roy. Statist. Soc. Ser. B, 7, 395-449.

    Google Scholar 

  • Rossini, A. J. and Tsiatis, A. A. (1996). A semiparametric proportional odds regression model for the analysis of current status data, J. Amer. Statist. Assoc., 91, 713-721.

    Google Scholar 

  • Shaked, M. and Shanthikumar, J. G. (1994). Stochastic Orders and Their Applications, Academic Press, San Diego.

    Google Scholar 

  • Shaked, M. and Wong, T. (1997). Stochastic comparisons of random minima and maxima, J. Appl. Probab., 34, 420-425.

    Google Scholar 

  • Wolfram, S. (1996). The Mathematica Book, 3rd ed., Wolfram Media/Cambridge University Press, Champaign.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

About this article

Cite this article

Kirmani, S.N.U.A., Gupta, R.C. On the Proportional Odds Model in Survival Analysis. Annals of the Institute of Statistical Mathematics 53, 203–216 (2001). https://doi.org/10.1023/A:1012458303498

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1012458303498

Navigation