Skip to main content

Generalized Logit-Based Proportional Hazards Models and Their Applications in Survival and Reliability Analyses

  • Chapter
  • First Online:
Stochastic Reliability and Maintenance Modeling

Part of the book series: Springer Series in Reliability Engineering ((RELIABILITY,volume 9))

  • 1924 Accesses

Abstract

We introduce a flexible family of generalized logit-based regression models for survival and reliability analyses. We present its parametric as well as its semiparametric versions. The method of maximum likelihood and the partial likelihood approach are applied to estimate the parameters of the parametric and semiparametric models, respectively. This new family of models is illustrated with male laryngeal cancer data and compared with Cox regression.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Balakrishnan N (ed) (1992) Handbook of the Logistic Distribution. Marcel Dekker, New York

    MATHĀ  Google ScholarĀ 

  2. Cheng SC, Wei LJ, Ying Z (1995) Analysis of transformation models with censored data. Biometrika 82:835ā€“845

    ArticleĀ  MathSciNetĀ  MATHĀ  Google ScholarĀ 

  3. Cox DR (1972) Regression models and life-tables. J Roy Stat Soc B 34(2):187ā€“220

    MATHĀ  Google ScholarĀ 

  4. Etezadi-Amoli J, Ciampi A (1987) Extended hazard regression for censored survival data with covariates: A spline approximation for the background hazard function. Biometrics 43:181ā€“192

    ArticleĀ  MATHĀ  Google ScholarĀ 

  5. Kardaun O (1983) Statistical analysis of male larynx-cancer patients: A case study. Stat Nederlandica 37:103ā€“126

    ArticleĀ  Google ScholarĀ 

  6. Klein JP, Moeschberger ML (1997) Survival analysis: techniques for censored and truncated data. Springer-Verlag, New York

    MATHĀ  Google ScholarĀ 

  7. MacKenzie G (1996) Regression models for survival data: The generalized time-dependent logistic family. Statistician 45:21ā€“34

    ArticleĀ  Google ScholarĀ 

  8. MacKenzie G (1997) On a non-proportional hazards regression model for repeated medical random counts. Stat Med 16:1831ā€“1843

    ArticleĀ  Google ScholarĀ 

  9. Royston P, Parmar MKB (2002) Flexible parametric proportional hazards and proportional odds models for censored survival analysis, with application to prognostic modelling and estimation of treatment effects. Stat Med 21:2175ā€“2197

    ArticleĀ  Google ScholarĀ 

  10. Younes N, Lachin J (1997) Link-based models for survival data with interval and continuous time censoring. Biometrics 53:1199ā€“1211

    ArticleĀ  MathSciNetĀ  MATHĀ  Google ScholarĀ 

Download references

Acknowledgments

This work was supported by research grant MTM2009-06997 and MAEC-AECID.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to N. Balakrishnan .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

Ā© 2013 Springer-Verlag London

About this chapter

Cite this chapter

Balakrishnan, N., Pardo, M.C., AvendaƱo, M.L. (2013). Generalized Logit-Based Proportional Hazards Models and Their Applications in Survival and Reliability Analyses. In: Dohi, T., Nakagawa, T. (eds) Stochastic Reliability and Maintenance Modeling. Springer Series in Reliability Engineering, vol 9. Springer, London. https://doi.org/10.1007/978-1-4471-4971-2_1

Download citation

  • DOI: https://doi.org/10.1007/978-1-4471-4971-2_1

  • Published:

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-4970-5

  • Online ISBN: 978-1-4471-4971-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics